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Finding the Fourth Proportional to 34,673.76, 51,902.80 and 18,839.20

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Solution

The fourth proportional to 34,673.76, 51,902.80 and 18,839.20 is: 28,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673.76 : 51,902.80 = 18,839.20 : x
  2. Step 2: Convert to fraction form
    34,673.76/51,902.80 = 18,839.20/x
  3. Step 3: Cross multiply
    34,673.76x = 51,902.80 × 18,839.20
  4. Step 4: Simplify right side
    34,673.76x = 977,807,229.76
  5. Step 5: Solve for x
    x = 977,807,229.76/34,673.76
  6. Step 6: Final answer
    x = 28,200.21

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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.