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Finding the Fourth Proportional to 32,174, 48,253.56 and 8,802.20

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Solution

The fourth proportional to 32,174, 48,253.56 and 8,802.20 is: 13,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174 : 48,253.56 = 8,802.20 : x
  2. Step 2: Convert to fraction form
    32,174/48,253.56 = 8,802.20/x
  3. Step 3: Cross multiply
    32,174x = 48,253.56 × 8,802.20
  4. Step 4: Simplify right side
    32,174x = 424,737,485.83
  5. Step 5: Solve for x
    x = 424,737,485.83/32,174
  6. Step 6: Final answer
    x = 13,201.26

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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.