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Finding the Fourth Proportional to 6,433.55, 9,648.03 and 2,920.61

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Solution

The fourth proportional to 6,433.55, 9,648.03 and 2,920.61 is: 4,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.55 : 9,648.03 = 2,920.61 : x
  2. Step 2: Convert to fraction form
    6,433.55/9,648.03 = 2,920.61/x
  3. Step 3: Cross multiply
    6,433.55x = 9,648.03 × 2,920.61
  4. Step 4: Simplify right side
    6,433.55x = 28,178,132.90
  5. Step 5: Solve for x
    x = 28,178,132.90/6,433.55
  6. Step 6: Final answer
    x = 4,379.87

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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.