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Finding the Fourth Proportional to 21,065.97, 31,603.67 and 7,918.46

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Solution

The fourth proportional to 21,065.97, 31,603.67 and 7,918.46 is: 11,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.97 : 31,603.67 = 7,918.46 : x
  2. Step 2: Convert to fraction form
    21,065.97/31,603.67 = 7,918.46/x
  3. Step 3: Cross multiply
    21,065.97x = 31,603.67 × 7,918.46
  4. Step 4: Simplify right side
    21,065.97x = 250,252,347.35
  5. Step 5: Solve for x
    x = 250,252,347.35/21,065.97
  6. Step 6: Final answer
    x = 11,879.46

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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.