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Finding the Fourth Proportional to 7,914.71, 11,867.68 and 3,238

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Solution

The fourth proportional to 7,914.71, 11,867.68 and 3,238 is: 4,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.71 : 11,867.68 = 3,238 : x
  2. Step 2: Convert to fraction form
    7,914.71/11,867.68 = 3,238/x
  3. Step 3: Cross multiply
    7,914.71x = 11,867.68 × 3,238
  4. Step 4: Simplify right side
    7,914.71x = 38,427,547.84
  5. Step 5: Solve for x
    x = 38,427,547.84/7,914.71
  6. Step 6: Final answer
    x = 4,855.21

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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.