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Finding the Fourth Proportional to 8,471.86, 12,715.54 and 4,314.74

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Solution

The fourth proportional to 8,471.86, 12,715.54 and 4,314.74 is: 6,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.86 : 12,715.54 = 4,314.74 : x
  2. Step 2: Convert to fraction form
    8,471.86/12,715.54 = 4,314.74/x
  3. Step 3: Cross multiply
    8,471.86x = 12,715.54 × 4,314.74
  4. Step 4: Simplify right side
    8,471.86x = 54,864,249.06
  5. Step 5: Solve for x
    x = 54,864,249.06/8,471.86
  6. Step 6: Final answer
    x = 6,476.06

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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.