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Finding the Fourth Proportional to 2,785.63, 3,844.17 and 1,543.63

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Solution

The fourth proportional to 2,785.63, 3,844.17 and 1,543.63 is: 2,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.63 : 3,844.17 = 1,543.63 : x
  2. Step 2: Convert to fraction form
    2,785.63/3,844.17 = 1,543.63/x
  3. Step 3: Cross multiply
    2,785.63x = 3,844.17 × 1,543.63
  4. Step 4: Simplify right side
    2,785.63x = 5,933,976.14
  5. Step 5: Solve for x
    x = 5,933,976.14/2,785.63
  6. Step 6: Final answer
    x = 2,130.21

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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.