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Finding the Fourth Proportional to 6,541.78, 9,805.68 and 4,758.57

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Solution

The fourth proportional to 6,541.78, 9,805.68 and 4,758.57 is: 7,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.78 : 9,805.68 = 4,758.57 : x
  2. Step 2: Convert to fraction form
    6,541.78/9,805.68 = 4,758.57/x
  3. Step 3: Cross multiply
    6,541.78x = 9,805.68 × 4,758.57
  4. Step 4: Simplify right side
    6,541.78x = 46,660,965.65
  5. Step 5: Solve for x
    x = 46,660,965.65/6,541.78
  6. Step 6: Final answer
    x = 7,132.76

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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.