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Finding the Fourth Proportional to 3,102.80, 4,654.96 and 1,543.55

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Solution

The fourth proportional to 3,102.80, 4,654.96 and 1,543.55 is: 2,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.80 : 4,654.96 = 1,543.55 : x
  2. Step 2: Convert to fraction form
    3,102.80/4,654.96 = 1,543.55/x
  3. Step 3: Cross multiply
    3,102.80x = 4,654.96 × 1,543.55
  4. Step 4: Simplify right side
    3,102.80x = 7,185,136.37
  5. Step 5: Solve for x
    x = 7,185,136.37/3,102.80
  6. Step 6: Final answer
    x = 2,315.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.