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Finding the Fourth Proportional to 2,892.06, 3,991.02 and 1,565.79

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Solution

The fourth proportional to 2,892.06, 3,991.02 and 1,565.79 is: 2,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.06 : 3,991.02 = 1,565.79 : x
  2. Step 2: Convert to fraction form
    2,892.06/3,991.02 = 1,565.79/x
  3. Step 3: Cross multiply
    2,892.06x = 3,991.02 × 1,565.79
  4. Step 4: Simplify right side
    2,892.06x = 6,249,099.21
  5. Step 5: Solve for x
    x = 6,249,099.21/2,892.06
  6. Step 6: Final answer
    x = 2,160.78

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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.