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Finding the Fourth Proportional to 17,643.84, 26,470.20 and 7,785.84

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Solution

The fourth proportional to 17,643.84, 26,470.20 and 7,785.84 is: 11,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.84 : 26,470.20 = 7,785.84 : x
  2. Step 2: Convert to fraction form
    17,643.84/26,470.20 = 7,785.84/x
  3. Step 3: Cross multiply
    17,643.84x = 26,470.20 × 7,785.84
  4. Step 4: Simplify right side
    17,643.84x = 206,092,741.97
  5. Step 5: Solve for x
    x = 206,092,741.97/17,643.84
  6. Step 6: Final answer
    x = 11,680.72

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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.