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Finding the Fourth Proportional to 11,691.80, 17,616.62 and 9,657.38

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Solution

The fourth proportional to 11,691.80, 17,616.62 and 9,657.38 is: 14,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.80 : 17,616.62 = 9,657.38 : x
  2. Step 2: Convert to fraction form
    11,691.80/17,616.62 = 9,657.38/x
  3. Step 3: Cross multiply
    11,691.80x = 17,616.62 × 9,657.38
  4. Step 4: Simplify right side
    11,691.80x = 170,130,461.84
  5. Step 5: Solve for x
    x = 170,130,461.84/11,691.80
  6. Step 6: Final answer
    x = 14,551.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.