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Finding the Fourth Proportional to 11,342.80, 15,653.10 and 7,799.86

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Solution

The fourth proportional to 11,342.80, 15,653.10 and 7,799.86 is: 10,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.80 : 15,653.10 = 7,799.86 : x
  2. Step 2: Convert to fraction form
    11,342.80/15,653.10 = 7,799.86/x
  3. Step 3: Cross multiply
    11,342.80x = 15,653.10 × 7,799.86
  4. Step 4: Simplify right side
    11,342.80x = 122,091,978.68
  5. Step 5: Solve for x
    x = 122,091,978.68/11,342.80
  6. Step 6: Final answer
    x = 10,763.83

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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.