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Finding the Fourth Proportional to 11,789.80, 16,264.47 and 7,065.88

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Solution

The fourth proportional to 11,789.80, 16,264.47 and 7,065.88 is: 9,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.80 : 16,264.47 = 7,065.88 : x
  2. Step 2: Convert to fraction form
    11,789.80/16,264.47 = 7,065.88/x
  3. Step 3: Cross multiply
    11,789.80x = 16,264.47 × 7,065.88
  4. Step 4: Simplify right side
    11,789.80x = 114,922,793.28
  5. Step 5: Solve for x
    x = 114,922,793.28/11,789.80
  6. Step 6: Final answer
    x = 9,747.65

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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.