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Finding the Fourth Proportional to 1,517.78, 2,088.78 and 1,378.19

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Solution

The fourth proportional to 1,517.78, 2,088.78 and 1,378.19 is: 1,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.78 : 2,088.78 = 1,378.19 : x
  2. Step 2: Convert to fraction form
    1,517.78/2,088.78 = 1,378.19/x
  3. Step 3: Cross multiply
    1,517.78x = 2,088.78 × 1,378.19
  4. Step 4: Simplify right side
    1,517.78x = 2,878,735.71
  5. Step 5: Solve for x
    x = 2,878,735.71/1,517.78
  6. Step 6: Final answer
    x = 1,896.68

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Half scale
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Double scale
Find fourth proportional to 1,518.78, 2,090.16 and 1,379.19
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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.