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Finding the Fourth Proportional to 12,176.98, 16,805.01 and 6,869.86

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Solution

The fourth proportional to 12,176.98, 16,805.01 and 6,869.86 is: 9,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.98 : 16,805.01 = 6,869.86 : x
  2. Step 2: Convert to fraction form
    12,176.98/16,805.01 = 6,869.86/x
  3. Step 3: Cross multiply
    12,176.98x = 16,805.01 × 6,869.86
  4. Step 4: Simplify right side
    12,176.98x = 115,448,066.00
  5. Step 5: Solve for x
    x = 115,448,066.00/12,176.98
  6. Step 6: Final answer
    x = 9,480.85

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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.