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Finding the Fourth Proportional to 2,760.94, 3,809.19 and 1,565.79

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Solution

The fourth proportional to 2,760.94, 3,809.19 and 1,565.79 is: 2,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.94 : 3,809.19 = 1,565.79 : x
  2. Step 2: Convert to fraction form
    2,760.94/3,809.19 = 1,565.79/x
  3. Step 3: Cross multiply
    2,760.94x = 3,809.19 × 1,565.79
  4. Step 4: Simplify right side
    2,760.94x = 5,964,391.61
  5. Step 5: Solve for x
    x = 5,964,391.61/2,760.94
  6. Step 6: Final answer
    x = 2,160.28

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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.