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Finding the Fourth Proportional to 12,471.90, 17,217.60 and 9,632.91

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Solution

The fourth proportional to 12,471.90, 17,217.60 and 9,632.91 is: 13,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.90 : 17,217.60 = 9,632.91 : x
  2. Step 2: Convert to fraction form
    12,471.90/17,217.60 = 9,632.91/x
  3. Step 3: Cross multiply
    12,471.90x = 17,217.60 × 9,632.91
  4. Step 4: Simplify right side
    12,471.90x = 165,855,591.22
  5. Step 5: Solve for x
    x = 165,855,591.22/12,471.90
  6. Step 6: Final answer
    x = 13,298.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.