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Finding the Fourth Proportional to 11,746, 16,209.48 and 6,780.88

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Solution

The fourth proportional to 11,746, 16,209.48 and 6,780.88 is: 9,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 16,209.48 = 6,780.88 : x
  2. Step 2: Convert to fraction form
    11,746/16,209.48 = 6,780.88/x
  3. Step 3: Cross multiply
    11,746x = 16,209.48 × 6,780.88
  4. Step 4: Simplify right side
    11,746x = 109,914,538.74
  5. Step 5: Solve for x
    x = 109,914,538.74/11,746
  6. Step 6: Final answer
    x = 9,357.61

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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.