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Finding the Fourth Proportional to 7,161.50, 9,877.82 and 6,215.42

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Solution

The fourth proportional to 7,161.50, 9,877.82 and 6,215.42 is: 8,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.50 : 9,877.82 = 6,215.42 : x
  2. Step 2: Convert to fraction form
    7,161.50/9,877.82 = 6,215.42/x
  3. Step 3: Cross multiply
    7,161.50x = 9,877.82 × 6,215.42
  4. Step 4: Simplify right side
    7,161.50x = 61,394,799.98
  5. Step 5: Solve for x
    x = 61,394,799.98/7,161.50
  6. Step 6: Final answer
    x = 8,572.90

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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.