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Finding the Fourth Proportional to 8,167.77, 12,244.32 and 2,970

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Solution

The fourth proportional to 8,167.77, 12,244.32 and 2,970 is: 4,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.77 : 12,244.32 = 2,970 : x
  2. Step 2: Convert to fraction form
    8,167.77/12,244.32 = 2,970/x
  3. Step 3: Cross multiply
    8,167.77x = 12,244.32 × 2,970
  4. Step 4: Simplify right side
    8,167.77x = 36,365,630.40
  5. Step 5: Solve for x
    x = 36,365,630.40/8,167.77
  6. Step 6: Final answer
    x = 4,452.33

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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.