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Finding the Fourth Proportional to 8,892, 13,338 and 4,509.60

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Solution

The fourth proportional to 8,892, 13,338 and 4,509.60 is: 6,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892 : 13,338 = 4,509.60 : x
  2. Step 2: Convert to fraction form
    8,892/13,338 = 4,509.60/x
  3. Step 3: Cross multiply
    8,892x = 13,338 × 4,509.60
  4. Step 4: Simplify right side
    8,892x = 60,149,044.80
  5. Step 5: Solve for x
    x = 60,149,044.80/8,892
  6. Step 6: Final answer
    x = 6,764.40

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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.