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Finding the Fourth Proportional to 2,565.99, 3,849.08 and 717.12

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Solution

The fourth proportional to 2,565.99, 3,849.08 and 717.12 is: 1,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.99 : 3,849.08 = 717.12 : x
  2. Step 2: Convert to fraction form
    2,565.99/3,849.08 = 717.12/x
  3. Step 3: Cross multiply
    2,565.99x = 3,849.08 × 717.12
  4. Step 4: Simplify right side
    2,565.99x = 2,760,248.66
  5. Step 5: Solve for x
    x = 2,760,248.66/2,565.99
  6. Step 6: Final answer
    x = 1,075.71

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1.5x scale

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.