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Finding the Fourth Proportional to 9,261.20, 13,891.80 and 8,454.80

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Solution

The fourth proportional to 9,261.20, 13,891.80 and 8,454.80 is: 12,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.20 : 13,891.80 = 8,454.80 : x
  2. Step 2: Convert to fraction form
    9,261.20/13,891.80 = 8,454.80/x
  3. Step 3: Cross multiply
    9,261.20x = 13,891.80 × 8,454.80
  4. Step 4: Simplify right side
    9,261.20x = 117,452,390.64
  5. Step 5: Solve for x
    x = 117,452,390.64/9,261.20
  6. Step 6: Final answer
    x = 12,682.20

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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.