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Finding the Fourth Proportional to 6,531.80, 9,780.42 and 3,447.32

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Solution

The fourth proportional to 6,531.80, 9,780.42 and 3,447.32 is: 5,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.80 : 9,780.42 = 3,447.32 : x
  2. Step 2: Convert to fraction form
    6,531.80/9,780.42 = 3,447.32/x
  3. Step 3: Cross multiply
    6,531.80x = 9,780.42 × 3,447.32
  4. Step 4: Simplify right side
    6,531.80x = 33,716,237.47
  5. Step 5: Solve for x
    x = 33,716,237.47/6,531.80
  6. Step 6: Final answer
    x = 5,161.86

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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.