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Finding the Fourth Proportional to 6,781.62, 9,352.06 and 5,289

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Solution

The fourth proportional to 6,781.62, 9,352.06 and 5,289 is: 7,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.62 : 9,352.06 = 5,289 : x
  2. Step 2: Convert to fraction form
    6,781.62/9,352.06 = 5,289/x
  3. Step 3: Cross multiply
    6,781.62x = 9,352.06 × 5,289
  4. Step 4: Simplify right side
    6,781.62x = 49,463,045.34
  5. Step 5: Solve for x
    x = 49,463,045.34/6,781.62
  6. Step 6: Final answer
    x = 7,293.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.