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Finding the Fourth Proportional to 34,938.20, 52,407.45 and 8,642.87

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Solution

The fourth proportional to 34,938.20, 52,407.45 and 8,642.87 is: 12,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.20 : 52,407.45 = 8,642.87 : x
  2. Step 2: Convert to fraction form
    34,938.20/52,407.45 = 8,642.87/x
  3. Step 3: Cross multiply
    34,938.20x = 52,407.45 × 8,642.87
  4. Step 4: Simplify right side
    34,938.20x = 452,950,515.34
  5. Step 5: Solve for x
    x = 452,950,515.34/34,938.20
  6. Step 6: Final answer
    x = 12,964.34

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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.