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Finding the Fourth Proportional to 6,447.80, 9,681.60 and 3,531.80

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Solution

The fourth proportional to 6,447.80, 9,681.60 and 3,531.80 is: 5,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.80 : 9,681.60 = 3,531.80 : x
  2. Step 2: Convert to fraction form
    6,447.80/9,681.60 = 3,531.80/x
  3. Step 3: Cross multiply
    6,447.80x = 9,681.60 × 3,531.80
  4. Step 4: Simplify right side
    6,447.80x = 34,193,474.88
  5. Step 5: Solve for x
    x = 34,193,474.88/6,447.80
  6. Step 6: Final answer
    x = 5,303.12

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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.