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Finding the Fourth Proportional to 21,861.32, 32,795.20 and 7,065.32

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Solution

The fourth proportional to 21,861.32, 32,795.20 and 7,065.32 is: 10,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.32 : 32,795.20 = 7,065.32 : x
  2. Step 2: Convert to fraction form
    21,861.32/32,795.20 = 7,065.32/x
  3. Step 3: Cross multiply
    21,861.32x = 32,795.20 × 7,065.32
  4. Step 4: Simplify right side
    21,861.32x = 231,708,582.46
  5. Step 5: Solve for x
    x = 231,708,582.46/21,861.32
  6. Step 6: Final answer
    x = 10,599.02

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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.