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Finding the Fourth Proportional to 15,815.66, 21,823.98 and 9,099.97

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Solution

The fourth proportional to 15,815.66, 21,823.98 and 9,099.97 is: 12,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.66 : 21,823.98 = 9,099.97 : x
  2. Step 2: Convert to fraction form
    15,815.66/21,823.98 = 9,099.97/x
  3. Step 3: Cross multiply
    15,815.66x = 21,823.98 × 9,099.97
  4. Step 4: Simplify right side
    15,815.66x = 198,597,587.16
  5. Step 5: Solve for x
    x = 198,597,587.16/15,815.66
  6. Step 6: Final answer
    x = 12,557.03

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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.