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Finding the Fourth Proportional to 32,448.64, 48,650.46 and 12,729.20

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Solution

The fourth proportional to 32,448.64, 48,650.46 and 12,729.20 is: 19,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.64 : 48,650.46 = 12,729.20 : x
  2. Step 2: Convert to fraction form
    32,448.64/48,650.46 = 12,729.20/x
  3. Step 3: Cross multiply
    32,448.64x = 48,650.46 × 12,729.20
  4. Step 4: Simplify right side
    32,448.64x = 619,281,435.43
  5. Step 5: Solve for x
    x = 619,281,435.43/32,448.64
  6. Step 6: Final answer
    x = 19,084.97

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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.