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Finding the Fourth Proportional to 2,712.93, 3,746.92 and 1,827.20

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Solution

The fourth proportional to 2,712.93, 3,746.92 and 1,827.20 is: 2,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.93 : 3,746.92 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    2,712.93/3,746.92 = 1,827.20/x
  3. Step 3: Cross multiply
    2,712.93x = 3,746.92 × 1,827.20
  4. Step 4: Simplify right side
    2,712.93x = 6,846,372.22
  5. Step 5: Solve for x
    x = 6,846,372.22/2,712.93
  6. Step 6: Final answer
    x = 2,523.61

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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.