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Finding the Fourth Proportional to 2,891.95, 3,990.84 and 1,565.64

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Solution

The fourth proportional to 2,891.95, 3,990.84 and 1,565.64 is: 2,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.95 : 3,990.84 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    2,891.95/3,990.84 = 1,565.64/x
  3. Step 3: Cross multiply
    2,891.95x = 3,990.84 × 1,565.64
  4. Step 4: Simplify right side
    2,891.95x = 6,248,232.63
  5. Step 5: Solve for x
    x = 6,248,232.63/2,891.95
  6. Step 6: Final answer
    x = 2,160.56

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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.