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Finding the Fourth Proportional to 12,280.68, 16,961.40 and 8,294.94

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Solution

The fourth proportional to 12,280.68, 16,961.40 and 8,294.94 is: 11,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.68 : 16,961.40 = 8,294.94 : x
  2. Step 2: Convert to fraction form
    12,280.68/16,961.40 = 8,294.94/x
  3. Step 3: Cross multiply
    12,280.68x = 16,961.40 × 8,294.94
  4. Step 4: Simplify right side
    12,280.68x = 140,693,795.32
  5. Step 5: Solve for x
    x = 140,693,795.32/12,280.68
  6. Step 6: Final answer
    x = 11,456.52

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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.