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Finding the Fourth Proportional to 14,074, 21,097.02 and 7,836.86

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Solution

The fourth proportional to 14,074, 21,097.02 and 7,836.86 is: 11,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 21,097.02 = 7,836.86 : x
  2. Step 2: Convert to fraction form
    14,074/21,097.02 = 7,836.86/x
  3. Step 3: Cross multiply
    14,074x = 21,097.02 × 7,836.86
  4. Step 4: Simplify right side
    14,074x = 165,334,392.16
  5. Step 5: Solve for x
    x = 165,334,392.16/14,074
  6. Step 6: Final answer
    x = 11,747.51

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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.