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Finding the Fourth Proportional to 2,807.68, 3,874.20 and 1,565.68

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Solution

The fourth proportional to 2,807.68, 3,874.20 and 1,565.68 is: 2,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.68 : 3,874.20 = 1,565.68 : x
  2. Step 2: Convert to fraction form
    2,807.68/3,874.20 = 1,565.68/x
  3. Step 3: Cross multiply
    2,807.68x = 3,874.20 × 1,565.68
  4. Step 4: Simplify right side
    2,807.68x = 6,065,757.46
  5. Step 5: Solve for x
    x = 6,065,757.46/2,807.68
  6. Step 6: Final answer
    x = 2,160.42

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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.