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Finding the Fourth Proportional to 32,160, 48,212.10 and 12,452.88

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Solution

The fourth proportional to 32,160, 48,212.10 and 12,452.88 is: 18,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 48,212.10 = 12,452.88 : x
  2. Step 2: Convert to fraction form
    32,160/48,212.10 = 12,452.88/x
  3. Step 3: Cross multiply
    32,160x = 48,212.10 × 12,452.88
  4. Step 4: Simplify right side
    32,160x = 600,379,495.85
  5. Step 5: Solve for x
    x = 600,379,495.85/32,160
  6. Step 6: Final answer
    x = 18,668.52

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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.