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Finding the Fourth Proportional to 1,854.75, 2,782.68 and 1,074.57

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Solution

The fourth proportional to 1,854.75, 2,782.68 and 1,074.57 is: 1,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.75 : 2,782.68 = 1,074.57 : x
  2. Step 2: Convert to fraction form
    1,854.75/2,782.68 = 1,074.57/x
  3. Step 3: Cross multiply
    1,854.75x = 2,782.68 × 1,074.57
  4. Step 4: Simplify right side
    1,854.75x = 2,990,184.45
  5. Step 5: Solve for x
    x = 2,990,184.45/1,854.75
  6. Step 6: Final answer
    x = 1,612.18

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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.