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Finding the Fourth Proportional to 7,134.26, 9,849.89 and 6,386.93

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Solution

The fourth proportional to 7,134.26, 9,849.89 and 6,386.93 is: 8,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.26 : 9,849.89 = 6,386.93 : x
  2. Step 2: Convert to fraction form
    7,134.26/9,849.89 = 6,386.93/x
  3. Step 3: Cross multiply
    7,134.26x = 9,849.89 × 6,386.93
  4. Step 4: Simplify right side
    7,134.26x = 62,910,524.66
  5. Step 5: Solve for x
    x = 62,910,524.66/7,134.26
  6. Step 6: Final answer
    x = 8,818.09

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1.5x scale

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.