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Finding the Fourth Proportional to 20,699.72, 31,040.06 and 6,657.16

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Solution

The fourth proportional to 20,699.72, 31,040.06 and 6,657.16 is: 9,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.72 : 31,040.06 = 6,657.16 : x
  2. Step 2: Convert to fraction form
    20,699.72/31,040.06 = 6,657.16/x
  3. Step 3: Cross multiply
    20,699.72x = 31,040.06 × 6,657.16
  4. Step 4: Simplify right side
    20,699.72x = 206,638,645.83
  5. Step 5: Solve for x
    x = 206,638,645.83/20,699.72
  6. Step 6: Final answer
    x = 9,982.68

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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.