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Finding the Fourth Proportional to 10,371, 15,523.20 and 5,433.60

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Solution

The fourth proportional to 10,371, 15,523.20 and 5,433.60 is: 8,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371 : 15,523.20 = 5,433.60 : x
  2. Step 2: Convert to fraction form
    10,371/15,523.20 = 5,433.60/x
  3. Step 3: Cross multiply
    10,371x = 15,523.20 × 5,433.60
  4. Step 4: Simplify right side
    10,371x = 84,346,859.52
  5. Step 5: Solve for x
    x = 84,346,859.52/10,371
  6. Step 6: Final answer
    x = 8,132.95

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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.