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Finding the Fourth Proportional to 10,615.28, 15,919.22 and 5,348.25

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Solution

The fourth proportional to 10,615.28, 15,919.22 and 5,348.25 is: 8,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.28 : 15,919.22 = 5,348.25 : x
  2. Step 2: Convert to fraction form
    10,615.28/15,919.22 = 5,348.25/x
  3. Step 3: Cross multiply
    10,615.28x = 15,919.22 × 5,348.25
  4. Step 4: Simplify right side
    10,615.28x = 85,139,981.74
  5. Step 5: Solve for x
    x = 85,139,981.74/10,615.28
  6. Step 6: Final answer
    x = 8,020.52

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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.