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Finding the Fourth Proportional to 32,473.76, 48,692 and 12,729.20

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Solution

The fourth proportional to 32,473.76, 48,692 and 12,729.20 is: 19,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.76 : 48,692 = 12,729.20 : x
  2. Step 2: Convert to fraction form
    32,473.76/48,692 = 12,729.20/x
  3. Step 3: Cross multiply
    32,473.76x = 48,692 × 12,729.20
  4. Step 4: Simplify right side
    32,473.76x = 619,810,206.40
  5. Step 5: Solve for x
    x = 619,810,206.40/32,473.76
  6. Step 6: Final answer
    x = 19,086.49

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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.