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Finding the Fourth Proportional to 10,610.88, 15,901.23 and 7,815.57

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Solution

The fourth proportional to 10,610.88, 15,901.23 and 7,815.57 is: 11,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.88 : 15,901.23 = 7,815.57 : x
  2. Step 2: Convert to fraction form
    10,610.88/15,901.23 = 7,815.57/x
  3. Step 3: Cross multiply
    10,610.88x = 15,901.23 × 7,815.57
  4. Step 4: Simplify right side
    10,610.88x = 124,277,176.15
  5. Step 5: Solve for x
    x = 124,277,176.15/10,610.88
  6. Step 6: Final answer
    x = 11,712.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.