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Finding the Fourth Proportional to 10,080, 15,120.54 and 3,155.04

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Solution

The fourth proportional to 10,080, 15,120.54 and 3,155.04 is: 4,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,120.54 = 3,155.04 : x
  2. Step 2: Convert to fraction form
    10,080/15,120.54 = 3,155.04/x
  3. Step 3: Cross multiply
    10,080x = 15,120.54 × 3,155.04
  4. Step 4: Simplify right side
    10,080x = 47,705,908.52
  5. Step 5: Solve for x
    x = 47,705,908.52/10,080
  6. Step 6: Final answer
    x = 4,732.73

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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.