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Finding the Fourth Proportional to 21,882.18, 32,830.29 and 7,832.67

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Solution

The fourth proportional to 21,882.18, 32,830.29 and 7,832.67 is: 11,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.18 : 32,830.29 = 7,832.67 : x
  2. Step 2: Convert to fraction form
    21,882.18/32,830.29 = 7,832.67/x
  3. Step 3: Cross multiply
    21,882.18x = 32,830.29 × 7,832.67
  4. Step 4: Simplify right side
    21,882.18x = 257,148,827.57
  5. Step 5: Solve for x
    x = 257,148,827.57/21,882.18
  6. Step 6: Final answer
    x = 11,751.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.