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Finding the Fourth Proportional to 2,591.64, 3,576.78 and 1,543.68

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Solution

The fourth proportional to 2,591.64, 3,576.78 and 1,543.68 is: 2,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.64 : 3,576.78 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    2,591.64/3,576.78 = 1,543.68/x
  3. Step 3: Cross multiply
    2,591.64x = 3,576.78 × 1,543.68
  4. Step 4: Simplify right side
    2,591.64x = 5,521,403.75
  5. Step 5: Solve for x
    x = 5,521,403.75/2,591.64
  6. Step 6: Final answer
    x = 2,130.47

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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.