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Finding the Fourth Proportional to 2,892.21, 3,991.25 and 1,565.92

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Solution

The fourth proportional to 2,892.21, 3,991.25 and 1,565.92 is: 2,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.21 : 3,991.25 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,892.21/3,991.25 = 1,565.92/x
  3. Step 3: Cross multiply
    2,892.21x = 3,991.25 × 1,565.92
  4. Step 4: Simplify right side
    2,892.21x = 6,249,950.41
  5. Step 5: Solve for x
    x = 6,249,950.41/2,892.21
  6. Step 6: Final answer
    x = 2,160.96

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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.