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Finding the Fourth Proportional to 8,614.86, 12,927.42 and 8,068.20

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Solution

The fourth proportional to 8,614.86, 12,927.42 and 8,068.20 is: 12,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.86 : 12,927.42 = 8,068.20 : x
  2. Step 2: Convert to fraction form
    8,614.86/12,927.42 = 8,068.20/x
  3. Step 3: Cross multiply
    8,614.86x = 12,927.42 × 8,068.20
  4. Step 4: Simplify right side
    8,614.86x = 104,301,010.04
  5. Step 5: Solve for x
    x = 104,301,010.04/8,614.86
  6. Step 6: Final answer
    x = 12,107.10

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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.