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Finding the Fourth Proportional to 5,660.91, 7,815.68 and 3,645.22

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Solution

The fourth proportional to 5,660.91, 7,815.68 and 3,645.22 is: 5,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.91 : 7,815.68 = 3,645.22 : x
  2. Step 2: Convert to fraction form
    5,660.91/7,815.68 = 3,645.22/x
  3. Step 3: Cross multiply
    5,660.91x = 7,815.68 × 3,645.22
  4. Step 4: Simplify right side
    5,660.91x = 28,489,873.05
  5. Step 5: Solve for x
    x = 28,489,873.05/5,660.91
  6. Step 6: Final answer
    x = 5,032.74

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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.