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Finding the Fourth Proportional to 9,497.40, 14,229.90 and 8,104.20

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Solution

The fourth proportional to 9,497.40, 14,229.90 and 8,104.20 is: 12,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.40 : 14,229.90 = 8,104.20 : x
  2. Step 2: Convert to fraction form
    9,497.40/14,229.90 = 8,104.20/x
  3. Step 3: Cross multiply
    9,497.40x = 14,229.90 × 8,104.20
  4. Step 4: Simplify right side
    9,497.40x = 115,321,955.58
  5. Step 5: Solve for x
    x = 115,321,955.58/9,497.40
  6. Step 6: Final answer
    x = 12,142.48

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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.