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Finding the Fourth Proportional to 21,808, 32,711.28 and 7,017.76

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Solution

The fourth proportional to 21,808, 32,711.28 and 7,017.76 is: 10,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808 : 32,711.28 = 7,017.76 : x
  2. Step 2: Convert to fraction form
    21,808/32,711.28 = 7,017.76/x
  3. Step 3: Cross multiply
    21,808x = 32,711.28 × 7,017.76
  4. Step 4: Simplify right side
    21,808x = 229,559,912.33
  5. Step 5: Solve for x
    x = 229,559,912.33/21,808
  6. Step 6: Final answer
    x = 10,526.41

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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.