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Finding the Fourth Proportional to 6,502.38, 9,749.90 and 3,870.69

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Solution

The fourth proportional to 6,502.38, 9,749.90 and 3,870.69 is: 5,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.38 : 9,749.90 = 3,870.69 : x
  2. Step 2: Convert to fraction form
    6,502.38/9,749.90 = 3,870.69/x
  3. Step 3: Cross multiply
    6,502.38x = 9,749.90 × 3,870.69
  4. Step 4: Simplify right side
    6,502.38x = 37,738,821.08
  5. Step 5: Solve for x
    x = 37,738,821.08/6,502.38
  6. Step 6: Final answer
    x = 5,803.85

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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.