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Finding the Fourth Proportional to 32,469.76, 48,686 and 12,725.20

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Solution

The fourth proportional to 32,469.76, 48,686 and 12,725.20 is: 19,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.76 : 48,686 = 12,725.20 : x
  2. Step 2: Convert to fraction form
    32,469.76/48,686 = 12,725.20/x
  3. Step 3: Cross multiply
    32,469.76x = 48,686 × 12,725.20
  4. Step 4: Simplify right side
    32,469.76x = 619,539,087.20
  5. Step 5: Solve for x
    x = 619,539,087.20/32,469.76
  6. Step 6: Final answer
    x = 19,080.49

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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.