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Finding the Fourth Proportional to 1,874.59, 2,806.19 and 1,288.20

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Solution

The fourth proportional to 1,874.59, 2,806.19 and 1,288.20 is: 1,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.59 : 2,806.19 = 1,288.20 : x
  2. Step 2: Convert to fraction form
    1,874.59/2,806.19 = 1,288.20/x
  3. Step 3: Cross multiply
    1,874.59x = 2,806.19 × 1,288.20
  4. Step 4: Simplify right side
    1,874.59x = 3,614,950.12
  5. Step 5: Solve for x
    x = 3,614,950.12/1,874.59
  6. Step 6: Final answer
    x = 1,928.39

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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.