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Finding the Fourth Proportional to 7,151, 10,727.88 and 3,455.78

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Solution

The fourth proportional to 7,151, 10,727.88 and 3,455.78 is: 5,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151 : 10,727.88 = 3,455.78 : x
  2. Step 2: Convert to fraction form
    7,151/10,727.88 = 3,455.78/x
  3. Step 3: Cross multiply
    7,151x = 10,727.88 × 3,455.78
  4. Step 4: Simplify right side
    7,151x = 37,073,193.15
  5. Step 5: Solve for x
    x = 37,073,193.15/7,151
  6. Step 6: Final answer
    x = 5,184.34

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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.