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Finding the Fourth Proportional to 10,363, 15,505.60 and 6,449.08

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Solution

The fourth proportional to 10,363, 15,505.60 and 6,449.08 is: 9,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363 : 15,505.60 = 6,449.08 : x
  2. Step 2: Convert to fraction form
    10,363/15,505.60 = 6,449.08/x
  3. Step 3: Cross multiply
    10,363x = 15,505.60 × 6,449.08
  4. Step 4: Simplify right side
    10,363x = 99,996,854.85
  5. Step 5: Solve for x
    x = 99,996,854.85/10,363
  6. Step 6: Final answer
    x = 9,649.41

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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.