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Finding the Fourth Proportional to 2,712.88, 3,742.40 and 1,874.40

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Solution

The fourth proportional to 2,712.88, 3,742.40 and 1,874.40 is: 2,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.88 : 3,742.40 = 1,874.40 : x
  2. Step 2: Convert to fraction form
    2,712.88/3,742.40 = 1,874.40/x
  3. Step 3: Cross multiply
    2,712.88x = 3,742.40 × 1,874.40
  4. Step 4: Simplify right side
    2,712.88x = 7,014,754.56
  5. Step 5: Solve for x
    x = 7,014,754.56/2,712.88
  6. Step 6: Final answer
    x = 2,585.72

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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.