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Finding the Fourth Proportional to 8,570.34, 12,777.39 and 8,354.88

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Solution

The fourth proportional to 8,570.34, 12,777.39 and 8,354.88 is: 12,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.34 : 12,777.39 = 8,354.88 : x
  2. Step 2: Convert to fraction form
    8,570.34/12,777.39 = 8,354.88/x
  3. Step 3: Cross multiply
    8,570.34x = 12,777.39 × 8,354.88
  4. Step 4: Simplify right side
    8,570.34x = 106,753,560.16
  5. Step 5: Solve for x
    x = 106,753,560.16/8,570.34
  6. Step 6: Final answer
    x = 12,456.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.