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Finding the Fourth Proportional to 15,064.20, 20,788.38 and 8,349.84

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Solution

The fourth proportional to 15,064.20, 20,788.38 and 8,349.84 is: 11,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,064.20 : 20,788.38 = 8,349.84 : x
  2. Step 2: Convert to fraction form
    15,064.20/20,788.38 = 8,349.84/x
  3. Step 3: Cross multiply
    15,064.20x = 20,788.38 × 8,349.84
  4. Step 4: Simplify right side
    15,064.20x = 173,579,646.86
  5. Step 5: Solve for x
    x = 173,579,646.86/15,064.20
  6. Step 6: Final answer
    x = 11,522.66

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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.