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Finding the Fourth Proportional to 12,294.12, 16,959.42 and 8,316.58

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Solution

The fourth proportional to 12,294.12, 16,959.42 and 8,316.58 is: 11,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.12 : 16,959.42 = 8,316.58 : x
  2. Step 2: Convert to fraction form
    12,294.12/16,959.42 = 8,316.58/x
  3. Step 3: Cross multiply
    12,294.12x = 16,959.42 × 8,316.58
  4. Step 4: Simplify right side
    12,294.12x = 141,044,373.18
  5. Step 5: Solve for x
    x = 141,044,373.18/12,294.12
  6. Step 6: Final answer
    x = 11,472.51

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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.