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Finding the Fourth Proportional to 12,955.70, 17,867.13 and 8,478.02

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Solution

The fourth proportional to 12,955.70, 17,867.13 and 8,478.02 is: 11,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.70 : 17,867.13 = 8,478.02 : x
  2. Step 2: Convert to fraction form
    12,955.70/17,867.13 = 8,478.02/x
  3. Step 3: Cross multiply
    12,955.70x = 17,867.13 × 8,478.02
  4. Step 4: Simplify right side
    12,955.70x = 151,477,885.48
  5. Step 5: Solve for x
    x = 151,477,885.48/12,955.70
  6. Step 6: Final answer
    x = 11,691.99

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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.