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Finding the Fourth Proportional to 20,702.86, 31,049.93 and 6,664.14

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Solution

The fourth proportional to 20,702.86, 31,049.93 and 6,664.14 is: 9,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.86 : 31,049.93 = 6,664.14 : x
  2. Step 2: Convert to fraction form
    20,702.86/31,049.93 = 6,664.14/x
  3. Step 3: Cross multiply
    20,702.86x = 31,049.93 × 6,664.14
  4. Step 4: Simplify right side
    20,702.86x = 206,921,097.17
  5. Step 5: Solve for x
    x = 206,921,097.17/20,702.86
  6. Step 6: Final answer
    x = 9,994.81

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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.