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Finding the Fourth Proportional to 34,156.96, 51,229.68 and 10,780

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Solution

The fourth proportional to 34,156.96, 51,229.68 and 10,780 is: 16,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.96 : 51,229.68 = 10,780 : x
  2. Step 2: Convert to fraction form
    34,156.96/51,229.68 = 10,780/x
  3. Step 3: Cross multiply
    34,156.96x = 51,229.68 × 10,780
  4. Step 4: Simplify right side
    34,156.96x = 552,255,950.40
  5. Step 5: Solve for x
    x = 552,255,950.40/34,156.96
  6. Step 6: Final answer
    x = 16,168.18

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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.