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Finding the Fourth Proportional to 9,761.20, 13,492.59 and 8,986.18

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Solution

The fourth proportional to 9,761.20, 13,492.59 and 8,986.18 is: 12,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.20 : 13,492.59 = 8,986.18 : x
  2. Step 2: Convert to fraction form
    9,761.20/13,492.59 = 8,986.18/x
  3. Step 3: Cross multiply
    9,761.20x = 13,492.59 × 8,986.18
  4. Step 4: Simplify right side
    9,761.20x = 121,246,850.80
  5. Step 5: Solve for x
    x = 121,246,850.80/9,761.20
  6. Step 6: Final answer
    x = 12,421.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.