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Finding the Fourth Proportional to 32,475.76, 48,695 and 12,731.20

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Solution

The fourth proportional to 32,475.76, 48,695 and 12,731.20 is: 19,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.76 : 48,695 = 12,731.20 : x
  2. Step 2: Convert to fraction form
    32,475.76/48,695 = 12,731.20/x
  3. Step 3: Cross multiply
    32,475.76x = 48,695 × 12,731.20
  4. Step 4: Simplify right side
    32,475.76x = 619,945,784
  5. Step 5: Solve for x
    x = 619,945,784/32,475.76
  6. Step 6: Final answer
    x = 19,089.49

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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.