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Finding the Fourth Proportional to 7,108.14, 9,809.31 and 3,964.38

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Solution

The fourth proportional to 7,108.14, 9,809.31 and 3,964.38 is: 5,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.14 : 9,809.31 = 3,964.38 : x
  2. Step 2: Convert to fraction form
    7,108.14/9,809.31 = 3,964.38/x
  3. Step 3: Cross multiply
    7,108.14x = 9,809.31 × 3,964.38
  4. Step 4: Simplify right side
    7,108.14x = 38,887,832.38
  5. Step 5: Solve for x
    x = 38,887,832.38/7,108.14
  6. Step 6: Final answer
    x = 5,470.89

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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.