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Finding the Fourth Proportional to 10,499.49, 15,750 and 3,479.22

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Solution

The fourth proportional to 10,499.49, 15,750 and 3,479.22 is: 5,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.49 : 15,750 = 3,479.22 : x
  2. Step 2: Convert to fraction form
    10,499.49/15,750 = 3,479.22/x
  3. Step 3: Cross multiply
    10,499.49x = 15,750 × 3,479.22
  4. Step 4: Simplify right side
    10,499.49x = 54,797,715
  5. Step 5: Solve for x
    x = 54,797,715/10,499.49
  6. Step 6: Final answer
    x = 5,219.08

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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.