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Finding the Fourth Proportional to 9,981.82, 13,781.10 and 7,009.66

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Solution

The fourth proportional to 9,981.82, 13,781.10 and 7,009.66 is: 9,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.82 : 13,781.10 = 7,009.66 : x
  2. Step 2: Convert to fraction form
    9,981.82/13,781.10 = 7,009.66/x
  3. Step 3: Cross multiply
    9,981.82x = 13,781.10 × 7,009.66
  4. Step 4: Simplify right side
    9,981.82x = 96,600,825.43
  5. Step 5: Solve for x
    x = 96,600,825.43/9,981.82
  6. Step 6: Final answer
    x = 9,677.68

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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.