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Finding the Fourth Proportional to 1,403.87, 2,102.76 and 915.44

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Solution

The fourth proportional to 1,403.87, 2,102.76 and 915.44 is: 1,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.87 : 2,102.76 = 915.44 : x
  2. Step 2: Convert to fraction form
    1,403.87/2,102.76 = 915.44/x
  3. Step 3: Cross multiply
    1,403.87x = 2,102.76 × 915.44
  4. Step 4: Simplify right side
    1,403.87x = 1,924,940.10
  5. Step 5: Solve for x
    x = 1,924,940.10/1,403.87
  6. Step 6: Final answer
    x = 1,371.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.