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Finding the Fourth Proportional to 21,755.82, 32,636 and 9,277.16

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Solution

The fourth proportional to 21,755.82, 32,636 and 9,277.16 is: 13,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.82 : 32,636 = 9,277.16 : x
  2. Step 2: Convert to fraction form
    21,755.82/32,636 = 9,277.16/x
  3. Step 3: Cross multiply
    21,755.82x = 32,636 × 9,277.16
  4. Step 4: Simplify right side
    21,755.82x = 302,769,230.58
  5. Step 5: Solve for x
    x = 302,769,230.58/21,755.82
  6. Step 6: Final answer
    x = 13,916.70

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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.