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Finding the Fourth Proportional to 9,218.71, 13,828.11 and 2,293.21

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Solution

The fourth proportional to 9,218.71, 13,828.11 and 2,293.21 is: 3,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.71 : 13,828.11 = 2,293.21 : x
  2. Step 2: Convert to fraction form
    9,218.71/13,828.11 = 2,293.21/x
  3. Step 3: Cross multiply
    9,218.71x = 13,828.11 × 2,293.21
  4. Step 4: Simplify right side
    9,218.71x = 31,710,679.53
  5. Step 5: Solve for x
    x = 31,710,679.53/9,218.71
  6. Step 6: Final answer
    x = 3,439.82

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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.