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Finding the Fourth Proportional to 13,098.51, 18,073.13 and 8,381.88

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Solution

The fourth proportional to 13,098.51, 18,073.13 and 8,381.88 is: 11,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.51 : 18,073.13 = 8,381.88 : x
  2. Step 2: Convert to fraction form
    13,098.51/18,073.13 = 8,381.88/x
  3. Step 3: Cross multiply
    13,098.51x = 18,073.13 × 8,381.88
  4. Step 4: Simplify right side
    13,098.51x = 151,486,764.98
  5. Step 5: Solve for x
    x = 151,486,764.98/13,098.51
  6. Step 6: Final answer
    x = 11,565.19

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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.