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Finding the Fourth Proportional to 7,414, 10,229.68 and 4,429.38

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Solution

The fourth proportional to 7,414, 10,229.68 and 4,429.38 is: 6,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 10,229.68 = 4,429.38 : x
  2. Step 2: Convert to fraction form
    7,414/10,229.68 = 4,429.38/x
  3. Step 3: Cross multiply
    7,414x = 10,229.68 × 4,429.38
  4. Step 4: Simplify right side
    7,414x = 45,311,140.00
  5. Step 5: Solve for x
    x = 45,311,140.00/7,414
  6. Step 6: Final answer
    x = 6,111.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.