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Finding the Fourth Proportional to 15,881, 21,915.80 and 8,808.52

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Solution

The fourth proportional to 15,881, 21,915.80 and 8,808.52 is: 12,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881 : 21,915.80 = 8,808.52 : x
  2. Step 2: Convert to fraction form
    15,881/21,915.80 = 8,808.52/x
  3. Step 3: Cross multiply
    15,881x = 21,915.80 × 8,808.52
  4. Step 4: Simplify right side
    15,881x = 193,045,762.62
  5. Step 5: Solve for x
    x = 193,045,762.62/15,881
  6. Step 6: Final answer
    x = 12,155.77

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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.