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Finding the Fourth Proportional to 9,881.13, 13,633.92 and 5,631.29

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Solution

The fourth proportional to 9,881.13, 13,633.92 and 5,631.29 is: 7,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.13 : 13,633.92 = 5,631.29 : x
  2. Step 2: Convert to fraction form
    9,881.13/13,633.92 = 5,631.29/x
  3. Step 3: Cross multiply
    9,881.13x = 13,633.92 × 5,631.29
  4. Step 4: Simplify right side
    9,881.13x = 76,776,489.19
  5. Step 5: Solve for x
    x = 76,776,489.19/9,881.13
  6. Step 6: Final answer
    x = 7,770.01

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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.