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Finding the Fourth Proportional to 2,107.92, 2,909.13 and 1,575.88

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Solution

The fourth proportional to 2,107.92, 2,909.13 and 1,575.88 is: 2,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.92 : 2,909.13 = 1,575.88 : x
  2. Step 2: Convert to fraction form
    2,107.92/2,909.13 = 1,575.88/x
  3. Step 3: Cross multiply
    2,107.92x = 2,909.13 × 1,575.88
  4. Step 4: Simplify right side
    2,107.92x = 4,584,434.78
  5. Step 5: Solve for x
    x = 4,584,434.78/2,107.92
  6. Step 6: Final answer
    x = 2,174.86

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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.