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Finding the Fourth Proportional to 14,409.40, 21,620.68 and 6,514

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Solution

The fourth proportional to 14,409.40, 21,620.68 and 6,514 is: 9,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.40 : 21,620.68 = 6,514 : x
  2. Step 2: Convert to fraction form
    14,409.40/21,620.68 = 6,514/x
  3. Step 3: Cross multiply
    14,409.40x = 21,620.68 × 6,514
  4. Step 4: Simplify right side
    14,409.40x = 140,837,109.52
  5. Step 5: Solve for x
    x = 140,837,109.52/14,409.40
  6. Step 6: Final answer
    x = 9,773.97

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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.