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Finding the Fourth Proportional to 21,808.24, 32,709.12 and 7,954

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Solution

The fourth proportional to 21,808.24, 32,709.12 and 7,954 is: 11,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.24 : 32,709.12 = 7,954 : x
  2. Step 2: Convert to fraction form
    21,808.24/32,709.12 = 7,954/x
  3. Step 3: Cross multiply
    21,808.24x = 32,709.12 × 7,954
  4. Step 4: Simplify right side
    21,808.24x = 260,168,340.48
  5. Step 5: Solve for x
    x = 260,168,340.48/21,808.24
  6. Step 6: Final answer
    x = 11,929.82

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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.