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Finding the Fourth Proportional to 6,542.79, 9,814.58 and 2,160.29

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Solution

The fourth proportional to 6,542.79, 9,814.58 and 2,160.29 is: 3,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.79 : 9,814.58 = 2,160.29 : x
  2. Step 2: Convert to fraction form
    6,542.79/9,814.58 = 2,160.29/x
  3. Step 3: Cross multiply
    6,542.79x = 9,814.58 × 2,160.29
  4. Step 4: Simplify right side
    6,542.79x = 21,202,279.15
  5. Step 5: Solve for x
    x = 21,202,279.15/6,542.79
  6. Step 6: Final answer
    x = 3,240.56

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1.5x scale

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.