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Finding the Fourth Proportional to 8,538.76, 12,813 and 8,472.88

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Solution

The fourth proportional to 8,538.76, 12,813 and 8,472.88 is: 12,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.76 : 12,813 = 8,472.88 : x
  2. Step 2: Convert to fraction form
    8,538.76/12,813 = 8,472.88/x
  3. Step 3: Cross multiply
    8,538.76x = 12,813 × 8,472.88
  4. Step 4: Simplify right side
    8,538.76x = 108,563,011.44
  5. Step 5: Solve for x
    x = 108,563,011.44/8,538.76
  6. Step 6: Final answer
    x = 12,714.14

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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.