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Finding the Fourth Proportional to 1,555.43, 2,146.49 and 856.81

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Solution

The fourth proportional to 1,555.43, 2,146.49 and 856.81 is: 1,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.43 : 2,146.49 = 856.81 : x
  2. Step 2: Convert to fraction form
    1,555.43/2,146.49 = 856.81/x
  3. Step 3: Cross multiply
    1,555.43x = 2,146.49 × 856.81
  4. Step 4: Simplify right side
    1,555.43x = 1,839,119.08
  5. Step 5: Solve for x
    x = 1,839,119.08/1,555.43
  6. Step 6: Final answer
    x = 1,182.39

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Half scale
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Double scale
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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.