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Finding the Fourth Proportional to 11,371.95, 15,681.33 and 8,977.95

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Solution

The fourth proportional to 11,371.95, 15,681.33 and 8,977.95 is: 12,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.95 : 15,681.33 = 8,977.95 : x
  2. Step 2: Convert to fraction form
    11,371.95/15,681.33 = 8,977.95/x
  3. Step 3: Cross multiply
    11,371.95x = 15,681.33 × 8,977.95
  4. Step 4: Simplify right side
    11,371.95x = 140,786,196.67
  5. Step 5: Solve for x
    x = 140,786,196.67/11,371.95
  6. Step 6: Final answer
    x = 12,380.13

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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.