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Finding the Fourth Proportional to 13,685.60, 20,470.07 and 8,407.64

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Solution

The fourth proportional to 13,685.60, 20,470.07 and 8,407.64 is: 12,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.60 : 20,470.07 = 8,407.64 : x
  2. Step 2: Convert to fraction form
    13,685.60/20,470.07 = 8,407.64/x
  3. Step 3: Cross multiply
    13,685.60x = 20,470.07 × 8,407.64
  4. Step 4: Simplify right side
    13,685.60x = 172,105,051.53
  5. Step 5: Solve for x
    x = 172,105,051.53/13,685.60
  6. Step 6: Final answer
    x = 12,575.63

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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.