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Finding the Fourth Proportional to 15,876.74, 21,916.07 and 11,909.40

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Solution

The fourth proportional to 15,876.74, 21,916.07 and 11,909.40 is: 16,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.74 : 21,916.07 = 11,909.40 : x
  2. Step 2: Convert to fraction form
    15,876.74/21,916.07 = 11,909.40/x
  3. Step 3: Cross multiply
    15,876.74x = 21,916.07 × 11,909.40
  4. Step 4: Simplify right side
    15,876.74x = 261,007,146.99
  5. Step 5: Solve for x
    x = 261,007,146.99/15,876.74
  6. Step 6: Final answer
    x = 16,439.59

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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.