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Finding the Fourth Proportional to 10,280.30, 15,411 and 3,704.88

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Solution

The fourth proportional to 10,280.30, 15,411 and 3,704.88 is: 5,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.30 : 15,411 = 3,704.88 : x
  2. Step 2: Convert to fraction form
    10,280.30/15,411 = 3,704.88/x
  3. Step 3: Cross multiply
    10,280.30x = 15,411 × 3,704.88
  4. Step 4: Simplify right side
    10,280.30x = 57,095,905.68
  5. Step 5: Solve for x
    x = 57,095,905.68/10,280.30
  6. Step 6: Final answer
    x = 5,553.91

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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.