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Finding the Fourth Proportional to 21,801.84, 32,689.08 and 10,100.04

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Solution

The fourth proportional to 21,801.84, 32,689.08 and 10,100.04 is: 15,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801.84 : 32,689.08 = 10,100.04 : x
  2. Step 2: Convert to fraction form
    21,801.84/32,689.08 = 10,100.04/x
  3. Step 3: Cross multiply
    21,801.84x = 32,689.08 × 10,100.04
  4. Step 4: Simplify right side
    21,801.84x = 330,161,015.56
  5. Step 5: Solve for x
    x = 330,161,015.56/21,801.84
  6. Step 6: Final answer
    x = 15,143.72

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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.