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Finding the Fourth Proportional to 21,803.78, 32,707.46 and 9,323.91

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Solution

The fourth proportional to 21,803.78, 32,707.46 and 9,323.91 is: 13,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803.78 : 32,707.46 = 9,323.91 : x
  2. Step 2: Convert to fraction form
    21,803.78/32,707.46 = 9,323.91/x
  3. Step 3: Cross multiply
    21,803.78x = 32,707.46 × 9,323.91
  4. Step 4: Simplify right side
    21,803.78x = 304,961,436.68
  5. Step 5: Solve for x
    x = 304,961,436.68/21,803.78
  6. Step 6: Final answer
    x = 13,986.63

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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.