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Finding the Fourth Proportional to 9,109.80, 13,664.70 and 8,332.20

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Solution

The fourth proportional to 9,109.80, 13,664.70 and 8,332.20 is: 12,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.80 : 13,664.70 = 8,332.20 : x
  2. Step 2: Convert to fraction form
    9,109.80/13,664.70 = 8,332.20/x
  3. Step 3: Cross multiply
    9,109.80x = 13,664.70 × 8,332.20
  4. Step 4: Simplify right side
    9,109.80x = 113,857,013.34
  5. Step 5: Solve for x
    x = 113,857,013.34/9,109.80
  6. Step 6: Final answer
    x = 12,498.30

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Similar ratio
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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.