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Finding the Fourth Proportional to 34,587, 51,977.97 and 20,549.70

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Solution

The fourth proportional to 34,587, 51,977.97 and 20,549.70 is: 30,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,587 : 51,977.97 = 20,549.70 : x
  2. Step 2: Convert to fraction form
    34,587/51,977.97 = 20,549.70/x
  3. Step 3: Cross multiply
    34,587x = 51,977.97 × 20,549.70
  4. Step 4: Simplify right side
    34,587x = 1,068,131,690.11
  5. Step 5: Solve for x
    x = 1,068,131,690.11/34,587
  6. Step 6: Final answer
    x = 30,882.46

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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.