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Finding the Fourth Proportional to 21,868.17, 32,804.21 and 9,385.39

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Solution

The fourth proportional to 21,868.17, 32,804.21 and 9,385.39 is: 14,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.17 : 32,804.21 = 9,385.39 : x
  2. Step 2: Convert to fraction form
    21,868.17/32,804.21 = 9,385.39/x
  3. Step 3: Cross multiply
    21,868.17x = 32,804.21 × 9,385.39
  4. Step 4: Simplify right side
    21,868.17x = 307,880,304.49
  5. Step 5: Solve for x
    x = 307,880,304.49/21,868.17
  6. Step 6: Final answer
    x = 14,078.92

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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.