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Finding the Fourth Proportional to 15,776.97, 21,770.44 and 8,702.02

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Solution

The fourth proportional to 15,776.97, 21,770.44 and 8,702.02 is: 12,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.97 : 21,770.44 = 8,702.02 : x
  2. Step 2: Convert to fraction form
    15,776.97/21,770.44 = 8,702.02/x
  3. Step 3: Cross multiply
    15,776.97x = 21,770.44 × 8,702.02
  4. Step 4: Simplify right side
    15,776.97x = 189,446,804.29
  5. Step 5: Solve for x
    x = 189,446,804.29/15,776.97
  6. Step 6: Final answer
    x = 12,007.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.