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Finding the Fourth Proportional to 8,470.42, 12,704.95 and 3,790.24

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Solution

The fourth proportional to 8,470.42, 12,704.95 and 3,790.24 is: 5,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.42 : 12,704.95 = 3,790.24 : x
  2. Step 2: Convert to fraction form
    8,470.42/12,704.95 = 3,790.24/x
  3. Step 3: Cross multiply
    8,470.42x = 12,704.95 × 3,790.24
  4. Step 4: Simplify right side
    8,470.42x = 48,154,854.13
  5. Step 5: Solve for x
    x = 48,154,854.13/8,470.42
  6. Step 6: Final answer
    x = 5,685.06

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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.