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Finding the Fourth Proportional to 2,565.81, 3,849.36 and 716.92

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Solution

The fourth proportional to 2,565.81, 3,849.36 and 716.92 is: 1,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.81 : 3,849.36 = 716.92 : x
  2. Step 2: Convert to fraction form
    2,565.81/3,849.36 = 716.92/x
  3. Step 3: Cross multiply
    2,565.81x = 3,849.36 × 716.92
  4. Step 4: Simplify right side
    2,565.81x = 2,759,683.17
  5. Step 5: Solve for x
    x = 2,759,683.17/2,565.81
  6. Step 6: Final answer
    x = 1,075.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.