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Finding the Fourth Proportional to 6,542.46, 9,813.69 and 2,646.86

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Solution

The fourth proportional to 6,542.46, 9,813.69 and 2,646.86 is: 3,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.46 : 9,813.69 = 2,646.86 : x
  2. Step 2: Convert to fraction form
    6,542.46/9,813.69 = 2,646.86/x
  3. Step 3: Cross multiply
    6,542.46x = 9,813.69 × 2,646.86
  4. Step 4: Simplify right side
    6,542.46x = 25,975,414.44
  5. Step 5: Solve for x
    x = 25,975,414.44/6,542.46
  6. Step 6: Final answer
    x = 3,970.28

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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.