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Finding the Fourth Proportional to 21,877.93, 32,812.03 and 6,291.91

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Solution

The fourth proportional to 21,877.93, 32,812.03 and 6,291.91 is: 9,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.93 : 32,812.03 = 6,291.91 : x
  2. Step 2: Convert to fraction form
    21,877.93/32,812.03 = 6,291.91/x
  3. Step 3: Cross multiply
    21,877.93x = 32,812.03 × 6,291.91
  4. Step 4: Simplify right side
    21,877.93x = 206,450,339.68
  5. Step 5: Solve for x
    x = 206,450,339.68/21,877.93
  6. Step 6: Final answer
    x = 9,436.47

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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.