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Finding the Fourth Proportional to 13,115.88, 19,657.08 and 8,434.08

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Solution

The fourth proportional to 13,115.88, 19,657.08 and 8,434.08 is: 12,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.88 : 19,657.08 = 8,434.08 : x
  2. Step 2: Convert to fraction form
    13,115.88/19,657.08 = 8,434.08/x
  3. Step 3: Cross multiply
    13,115.88x = 19,657.08 × 8,434.08
  4. Step 4: Simplify right side
    13,115.88x = 165,789,385.29
  5. Step 5: Solve for x
    x = 165,789,385.29/13,115.88
  6. Step 6: Final answer
    x = 12,640.36

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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.