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Finding the Fourth Proportional to 1,513.54, 2,088.61 and 924.13

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Solution

The fourth proportional to 1,513.54, 2,088.61 and 924.13 is: 1,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.54 : 2,088.61 = 924.13 : x
  2. Step 2: Convert to fraction form
    1,513.54/2,088.61 = 924.13/x
  3. Step 3: Cross multiply
    1,513.54x = 2,088.61 × 924.13
  4. Step 4: Simplify right side
    1,513.54x = 1,930,147.16
  5. Step 5: Solve for x
    x = 1,930,147.16/1,513.54
  6. Step 6: Final answer
    x = 1,275.25

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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.