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Finding the Fourth Proportional to 32,480.80, 48,721.20 and 9,111.20

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Solution

The fourth proportional to 32,480.80, 48,721.20 and 9,111.20 is: 13,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.80 : 48,721.20 = 9,111.20 : x
  2. Step 2: Convert to fraction form
    32,480.80/48,721.20 = 9,111.20/x
  3. Step 3: Cross multiply
    32,480.80x = 48,721.20 × 9,111.20
  4. Step 4: Simplify right side
    32,480.80x = 443,908,597.44
  5. Step 5: Solve for x
    x = 443,908,597.44/32,480.80
  6. Step 6: Final answer
    x = 13,666.80

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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.