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Finding the Fourth Proportional to 10,255, 15,382.52 and 4,103.32

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Solution

The fourth proportional to 10,255, 15,382.52 and 4,103.32 is: 6,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255 : 15,382.52 = 4,103.32 : x
  2. Step 2: Convert to fraction form
    10,255/15,382.52 = 4,103.32/x
  3. Step 3: Cross multiply
    10,255x = 15,382.52 × 4,103.32
  4. Step 4: Simplify right side
    10,255x = 63,119,401.97
  5. Step 5: Solve for x
    x = 63,119,401.97/10,255
  6. Step 6: Final answer
    x = 6,154.99

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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.