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Finding the Fourth Proportional to 10,154.30, 15,219.30 and 5,221.40

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Solution

The fourth proportional to 10,154.30, 15,219.30 and 5,221.40 is: 7,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.30 : 15,219.30 = 5,221.40 : x
  2. Step 2: Convert to fraction form
    10,154.30/15,219.30 = 5,221.40/x
  3. Step 3: Cross multiply
    10,154.30x = 15,219.30 × 5,221.40
  4. Step 4: Simplify right side
    10,154.30x = 79,466,053.02
  5. Step 5: Solve for x
    x = 79,466,053.02/10,154.30
  6. Step 6: Final answer
    x = 7,825.85

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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.