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Finding the Fourth Proportional to 3,823.68, 5,275.68 and 2,144.72

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Solution

The fourth proportional to 3,823.68, 5,275.68 and 2,144.72 is: 2,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.68 : 5,275.68 = 2,144.72 : x
  2. Step 2: Convert to fraction form
    3,823.68/5,275.68 = 2,144.72/x
  3. Step 3: Cross multiply
    3,823.68x = 5,275.68 × 2,144.72
  4. Step 4: Simplify right side
    3,823.68x = 11,314,856.41
  5. Step 5: Solve for x
    x = 11,314,856.41/3,823.68
  6. Step 6: Final answer
    x = 2,959.15

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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.