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Finding the Fourth Proportional to 1,038.13, 1,549.60 and 915.12

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Solution

The fourth proportional to 1,038.13, 1,549.60 and 915.12 is: 1,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.13 : 1,549.60 = 915.12 : x
  2. Step 2: Convert to fraction form
    1,038.13/1,549.60 = 915.12/x
  3. Step 3: Cross multiply
    1,038.13x = 1,549.60 × 915.12
  4. Step 4: Simplify right side
    1,038.13x = 1,418,057.63
  5. Step 5: Solve for x
    x = 1,418,057.63/1,038.13
  6. Step 6: Final answer
    x = 1,365.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.