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Finding the Fourth Proportional to 5,509.42, 7,602.86 and 3,151.42

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Solution

The fourth proportional to 5,509.42, 7,602.86 and 3,151.42 is: 4,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.42 : 7,602.86 = 3,151.42 : x
  2. Step 2: Convert to fraction form
    5,509.42/7,602.86 = 3,151.42/x
  3. Step 3: Cross multiply
    5,509.42x = 7,602.86 × 3,151.42
  4. Step 4: Simplify right side
    5,509.42x = 23,959,793.93
  5. Step 5: Solve for x
    x = 23,959,793.93/5,509.42
  6. Step 6: Final answer
    x = 4,348.88

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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.