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Finding the Fourth Proportional to 6,345.72, 9,502.19 and 4,377.42

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Solution

The fourth proportional to 6,345.72, 9,502.19 and 4,377.42 is: 6,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.72 : 9,502.19 = 4,377.42 : x
  2. Step 2: Convert to fraction form
    6,345.72/9,502.19 = 4,377.42/x
  3. Step 3: Cross multiply
    6,345.72x = 9,502.19 × 4,377.42
  4. Step 4: Simplify right side
    6,345.72x = 41,595,054.66
  5. Step 5: Solve for x
    x = 41,595,054.66/6,345.72
  6. Step 6: Final answer
    x = 6,554.82

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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.