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Finding the Fourth Proportional to 9,497.40, 14,213.70 and 8,719.80

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Solution

The fourth proportional to 9,497.40, 14,213.70 and 8,719.80 is: 13,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.40 : 14,213.70 = 8,719.80 : x
  2. Step 2: Convert to fraction form
    9,497.40/14,213.70 = 8,719.80/x
  3. Step 3: Cross multiply
    9,497.40x = 14,213.70 × 8,719.80
  4. Step 4: Simplify right side
    9,497.40x = 123,940,621.26
  5. Step 5: Solve for x
    x = 123,940,621.26/9,497.40
  6. Step 6: Final answer
    x = 13,049.95

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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.