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Finding the Fourth Proportional to 8,471.46, 12,714.99 and 4,314.45

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Solution

The fourth proportional to 8,471.46, 12,714.99 and 4,314.45 is: 6,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.46 : 12,714.99 = 4,314.45 : x
  2. Step 2: Convert to fraction form
    8,471.46/12,714.99 = 4,314.45/x
  3. Step 3: Cross multiply
    8,471.46x = 12,714.99 × 4,314.45
  4. Step 4: Simplify right side
    8,471.46x = 54,858,188.61
  5. Step 5: Solve for x
    x = 54,858,188.61/8,471.46
  6. Step 6: Final answer
    x = 6,475.65

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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.