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Finding the Fourth Proportional to 7,138.89, 9,849.29 and 4,624.20

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Solution

The fourth proportional to 7,138.89, 9,849.29 and 4,624.20 is: 6,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.89 : 9,849.29 = 4,624.20 : x
  2. Step 2: Convert to fraction form
    7,138.89/9,849.29 = 4,624.20/x
  3. Step 3: Cross multiply
    7,138.89x = 9,849.29 × 4,624.20
  4. Step 4: Simplify right side
    7,138.89x = 45,545,063.70
  5. Step 5: Solve for x
    x = 45,545,063.70/7,138.89
  6. Step 6: Final answer
    x = 6,379.85

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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.