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Finding the Fourth Proportional to 2,566.55, 3,849.82 and 618.75

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Solution

The fourth proportional to 2,566.55, 3,849.82 and 618.75 is: 928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.55 : 3,849.82 = 618.75 : x
  2. Step 2: Convert to fraction form
    2,566.55/3,849.82 = 618.75/x
  3. Step 3: Cross multiply
    2,566.55x = 3,849.82 × 618.75
  4. Step 4: Simplify right side
    2,566.55x = 2,382,074.58
  5. Step 5: Solve for x
    x = 2,382,074.58/2,566.55
  6. Step 6: Final answer
    x = 928.12

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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.