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Finding the Fourth Proportional to 1,874.85, 2,585.72 and 1,343.84

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Solution

The fourth proportional to 1,874.85, 2,585.72 and 1,343.84 is: 1,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.85 : 2,585.72 = 1,343.84 : x
  2. Step 2: Convert to fraction form
    1,874.85/2,585.72 = 1,343.84/x
  3. Step 3: Cross multiply
    1,874.85x = 2,585.72 × 1,343.84
  4. Step 4: Simplify right side
    1,874.85x = 3,474,798.94
  5. Step 5: Solve for x
    x = 3,474,798.94/1,874.85
  6. Step 6: Final answer
    x = 1,853.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.