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Finding the Fourth Proportional to 2,856.78, 3,943.01 and 1,678.23

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Solution

The fourth proportional to 2,856.78, 3,943.01 and 1,678.23 is: 2,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.78 : 3,943.01 = 1,678.23 : x
  2. Step 2: Convert to fraction form
    2,856.78/3,943.01 = 1,678.23/x
  3. Step 3: Cross multiply
    2,856.78x = 3,943.01 × 1,678.23
  4. Step 4: Simplify right side
    2,856.78x = 6,617,281.87
  5. Step 5: Solve for x
    x = 6,617,281.87/2,856.78
  6. Step 6: Final answer
    x = 2,316.34

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Half scale
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Double scale
Find fourth proportional to 2,857.78, 3,944.39 and 1,679.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.