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Finding the Fourth Proportional to 2,785.44, 3,844.08 and 1,543.44

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Solution

The fourth proportional to 2,785.44, 3,844.08 and 1,543.44 is: 2,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 3,844.08 = 1,543.44 : x
  2. Step 2: Convert to fraction form
    2,785.44/3,844.08 = 1,543.44/x
  3. Step 3: Cross multiply
    2,785.44x = 3,844.08 × 1,543.44
  4. Step 4: Simplify right side
    2,785.44x = 5,933,106.84
  5. Step 5: Solve for x
    x = 5,933,106.84/2,785.44
  6. Step 6: Final answer
    x = 2,130.04

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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.