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Finding the Fourth Proportional to 7,867.71, 11,801.64 and 2,245.38

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Solution

The fourth proportional to 7,867.71, 11,801.64 and 2,245.38 is: 3,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.71 : 11,801.64 = 2,245.38 : x
  2. Step 2: Convert to fraction form
    7,867.71/11,801.64 = 2,245.38/x
  3. Step 3: Cross multiply
    7,867.71x = 11,801.64 × 2,245.38
  4. Step 4: Simplify right side
    7,867.71x = 26,499,107.42
  5. Step 5: Solve for x
    x = 26,499,107.42/7,867.71
  6. Step 6: Final answer
    x = 3,368.08

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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.