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Finding the Fourth Proportional to 10,222.68, 15,310.80 and 9,040.44

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Solution

The fourth proportional to 10,222.68, 15,310.80 and 9,040.44 is: 13,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.68 : 15,310.80 = 9,040.44 : x
  2. Step 2: Convert to fraction form
    10,222.68/15,310.80 = 9,040.44/x
  3. Step 3: Cross multiply
    10,222.68x = 15,310.80 × 9,040.44
  4. Step 4: Simplify right side
    10,222.68x = 138,416,368.75
  5. Step 5: Solve for x
    x = 138,416,368.75/10,222.68
  6. Step 6: Final answer
    x = 13,540.13

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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.