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Finding the Fourth Proportional to 32,447.20, 48,649.20 and 15,815.20

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Solution

The fourth proportional to 32,447.20, 48,649.20 and 15,815.20 is: 23,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.20 : 48,649.20 = 15,815.20 : x
  2. Step 2: Convert to fraction form
    32,447.20/48,649.20 = 15,815.20/x
  3. Step 3: Cross multiply
    32,447.20x = 48,649.20 × 15,815.20
  4. Step 4: Simplify right side
    32,447.20x = 769,396,827.84
  5. Step 5: Solve for x
    x = 769,396,827.84/32,447.20
  6. Step 6: Final answer
    x = 23,712.27

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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.