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Finding the Fourth Proportional to 14,514, 21,774.13 and 4,518.55

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Solution

The fourth proportional to 14,514, 21,774.13 and 4,518.55 is: 6,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514 : 21,774.13 = 4,518.55 : x
  2. Step 2: Convert to fraction form
    14,514/21,774.13 = 4,518.55/x
  3. Step 3: Cross multiply
    14,514x = 21,774.13 × 4,518.55
  4. Step 4: Simplify right side
    14,514x = 98,387,495.11
  5. Step 5: Solve for x
    x = 98,387,495.11/14,514
  6. Step 6: Final answer
    x = 6,778.80

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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.