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Finding the Fourth Proportional to 14,296.39, 21,449 and 6,405.55

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Solution

The fourth proportional to 14,296.39, 21,449 and 6,405.55 is: 9,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.39 : 21,449 = 6,405.55 : x
  2. Step 2: Convert to fraction form
    14,296.39/21,449 = 6,405.55/x
  3. Step 3: Cross multiply
    14,296.39x = 21,449 × 6,405.55
  4. Step 4: Simplify right side
    14,296.39x = 137,392,641.95
  5. Step 5: Solve for x
    x = 137,392,641.95/14,296.39
  6. Step 6: Final answer
    x = 9,610.30

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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.