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Finding the Fourth Proportional to 7,429, 11,144.67 and 3,532.09

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Solution

The fourth proportional to 7,429, 11,144.67 and 3,532.09 is: 5,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429 : 11,144.67 = 3,532.09 : x
  2. Step 2: Convert to fraction form
    7,429/11,144.67 = 3,532.09/x
  3. Step 3: Cross multiply
    7,429x = 11,144.67 × 3,532.09
  4. Step 4: Simplify right side
    7,429x = 39,363,977.46
  5. Step 5: Solve for x
    x = 39,363,977.46/7,429
  6. Step 6: Final answer
    x = 5,298.69

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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.