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Finding the Fourth Proportional to 9,216.80, 13,825.20 and 2,642.60

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Solution

The fourth proportional to 9,216.80, 13,825.20 and 2,642.60 is: 3,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.80 : 13,825.20 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    9,216.80/13,825.20 = 2,642.60/x
  3. Step 3: Cross multiply
    9,216.80x = 13,825.20 × 2,642.60
  4. Step 4: Simplify right side
    9,216.80x = 36,534,473.52
  5. Step 5: Solve for x
    x = 36,534,473.52/9,216.80
  6. Step 6: Final answer
    x = 3,963.90

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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.