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Finding the Fourth Proportional to 10,610.33, 15,900.39 and 7,815.02

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Solution

The fourth proportional to 10,610.33, 15,900.39 and 7,815.02 is: 11,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.33 : 15,900.39 = 7,815.02 : x
  2. Step 2: Convert to fraction form
    10,610.33/15,900.39 = 7,815.02/x
  3. Step 3: Cross multiply
    10,610.33x = 15,900.39 × 7,815.02
  4. Step 4: Simplify right side
    10,610.33x = 124,261,786.36
  5. Step 5: Solve for x
    x = 124,261,786.36/10,610.33
  6. Step 6: Final answer
    x = 11,711.40

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Why These Related Problems?

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