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Finding the Fourth Proportional to 34,880, 48,123.76 and 19,770.24

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Solution

The fourth proportional to 34,880, 48,123.76 and 19,770.24 is: 27,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880 : 48,123.76 = 19,770.24 : x
  2. Step 2: Convert to fraction form
    34,880/48,123.76 = 19,770.24/x
  3. Step 3: Cross multiply
    34,880x = 48,123.76 × 19,770.24
  4. Step 4: Simplify right side
    34,880x = 951,418,284.90
  5. Step 5: Solve for x
    x = 951,418,284.90/34,880
  6. Step 6: Final answer
    x = 27,276.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.