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Finding the Fourth Proportional to 21,189.16, 31,794 and 8,718.40

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Solution

The fourth proportional to 21,189.16, 31,794 and 8,718.40 is: 13,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.16 : 31,794 = 8,718.40 : x
  2. Step 2: Convert to fraction form
    21,189.16/31,794 = 8,718.40/x
  3. Step 3: Cross multiply
    21,189.16x = 31,794 × 8,718.40
  4. Step 4: Simplify right side
    21,189.16x = 277,192,809.60
  5. Step 5: Solve for x
    x = 277,192,809.60/21,189.16
  6. Step 6: Final answer
    x = 13,081.82

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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.