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Finding the Fourth Proportional to 32,012.80, 48,012.80 and 15,372.80

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Solution

The fourth proportional to 32,012.80, 48,012.80 and 15,372.80 is: 23,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.80 : 48,012.80 = 15,372.80 : x
  2. Step 2: Convert to fraction form
    32,012.80/48,012.80 = 15,372.80/x
  3. Step 3: Cross multiply
    32,012.80x = 48,012.80 × 15,372.80
  4. Step 4: Simplify right side
    32,012.80x = 738,091,171.84
  5. Step 5: Solve for x
    x = 738,091,171.84/32,012.80
  6. Step 6: Final answer
    x = 23,056.13

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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.