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Finding the Fourth Proportional to 34,191.52, 51,305.52 and 13,415.20

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Solution

The fourth proportional to 34,191.52, 51,305.52 and 13,415.20 is: 20,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.52 : 51,305.52 = 13,415.20 : x
  2. Step 2: Convert to fraction form
    34,191.52/51,305.52 = 13,415.20/x
  3. Step 3: Cross multiply
    34,191.52x = 51,305.52 × 13,415.20
  4. Step 4: Simplify right side
    34,191.52x = 688,273,811.90
  5. Step 5: Solve for x
    x = 688,273,811.90/34,191.52
  6. Step 6: Final answer
    x = 20,129.96

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1.5x scale

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.