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Finding the Fourth Proportional to 10,356.80, 15,538.80 and 4,515.20

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Solution

The fourth proportional to 10,356.80, 15,538.80 and 4,515.20 is: 6,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.80 : 15,538.80 = 4,515.20 : x
  2. Step 2: Convert to fraction form
    10,356.80/15,538.80 = 4,515.20/x
  3. Step 3: Cross multiply
    10,356.80x = 15,538.80 × 4,515.20
  4. Step 4: Simplify right side
    10,356.80x = 70,160,789.76
  5. Step 5: Solve for x
    x = 70,160,789.76/10,356.80
  6. Step 6: Final answer
    x = 6,774.37

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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.