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Finding the Fourth Proportional to 10,248.52, 15,385.74 and 8,719.24

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Solution

The fourth proportional to 10,248.52, 15,385.74 and 8,719.24 is: 13,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.52 : 15,385.74 = 8,719.24 : x
  2. Step 2: Convert to fraction form
    10,248.52/15,385.74 = 8,719.24/x
  3. Step 3: Cross multiply
    10,248.52x = 15,385.74 × 8,719.24
  4. Step 4: Simplify right side
    10,248.52x = 134,151,959.64
  5. Step 5: Solve for x
    x = 134,151,959.64/10,248.52
  6. Step 6: Final answer
    x = 13,089.89

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1.5x scale

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.