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Finding the Fourth Proportional to 11,910.40, 16,437 and 6,874.48

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Solution

The fourth proportional to 11,910.40, 16,437 and 6,874.48 is: 9,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.40 : 16,437 = 6,874.48 : x
  2. Step 2: Convert to fraction form
    11,910.40/16,437 = 6,874.48/x
  3. Step 3: Cross multiply
    11,910.40x = 16,437 × 6,874.48
  4. Step 4: Simplify right side
    11,910.40x = 112,995,827.76
  5. Step 5: Solve for x
    x = 112,995,827.76/11,910.40
  6. Step 6: Final answer
    x = 9,487.16

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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.