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Finding the Fourth Proportional to 21,798.39, 32,702.43 and 7,947.39

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Solution

The fourth proportional to 21,798.39, 32,702.43 and 7,947.39 is: 11,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798.39 : 32,702.43 = 7,947.39 : x
  2. Step 2: Convert to fraction form
    21,798.39/32,702.43 = 7,947.39/x
  3. Step 3: Cross multiply
    21,798.39x = 32,702.43 × 7,947.39
  4. Step 4: Simplify right side
    21,798.39x = 259,898,965.16
  5. Step 5: Solve for x
    x = 259,898,965.16/21,798.39
  6. Step 6: Final answer
    x = 11,922.85

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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.