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Finding the Fourth Proportional to 2,543.62, 3,509.36 and 1,548.66

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Solution

The fourth proportional to 2,543.62, 3,509.36 and 1,548.66 is: 2,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.62 : 3,509.36 = 1,548.66 : x
  2. Step 2: Convert to fraction form
    2,543.62/3,509.36 = 1,548.66/x
  3. Step 3: Cross multiply
    2,543.62x = 3,509.36 × 1,548.66
  4. Step 4: Simplify right side
    2,543.62x = 5,434,805.46
  5. Step 5: Solve for x
    x = 5,434,805.46/2,543.62
  6. Step 6: Final answer
    x = 2,136.64

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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.