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Finding the Fourth Proportional to 6,491.85, 9,724.94 and 4,293.91

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Solution

The fourth proportional to 6,491.85, 9,724.94 and 4,293.91 is: 6,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.85 : 9,724.94 = 4,293.91 : x
  2. Step 2: Convert to fraction form
    6,491.85/9,724.94 = 4,293.91/x
  3. Step 3: Cross multiply
    6,491.85x = 9,724.94 × 4,293.91
  4. Step 4: Simplify right side
    6,491.85x = 41,758,017.12
  5. Step 5: Solve for x
    x = 41,758,017.12/6,491.85
  6. Step 6: Final answer
    x = 6,432.38

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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.