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Finding the Fourth Proportional to 32,001.60, 47,998.60 and 8,629.88

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Solution

The fourth proportional to 32,001.60, 47,998.60 and 8,629.88 is: 12,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.60 : 47,998.60 = 8,629.88 : x
  2. Step 2: Convert to fraction form
    32,001.60/47,998.60 = 8,629.88/x
  3. Step 3: Cross multiply
    32,001.60x = 47,998.60 × 8,629.88
  4. Step 4: Simplify right side
    32,001.60x = 414,222,158.17
  5. Step 5: Solve for x
    x = 414,222,158.17/32,001.60
  6. Step 6: Final answer
    x = 12,943.80

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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.