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Finding the Fourth Proportional to 10,575.76, 15,851.64 and 8,218.24

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Solution

The fourth proportional to 10,575.76, 15,851.64 and 8,218.24 is: 12,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.76 : 15,851.64 = 8,218.24 : x
  2. Step 2: Convert to fraction form
    10,575.76/15,851.64 = 8,218.24/x
  3. Step 3: Cross multiply
    10,575.76x = 15,851.64 × 8,218.24
  4. Step 4: Simplify right side
    10,575.76x = 130,272,581.91
  5. Step 5: Solve for x
    x = 130,272,581.91/10,575.76
  6. Step 6: Final answer
    x = 12,318.04

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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.