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Finding the Fourth Proportional to 21,919.97, 32,861.50 and 8,765.16

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Solution

The fourth proportional to 21,919.97, 32,861.50 and 8,765.16 is: 13,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.97 : 32,861.50 = 8,765.16 : x
  2. Step 2: Convert to fraction form
    21,919.97/32,861.50 = 8,765.16/x
  3. Step 3: Cross multiply
    21,919.97x = 32,861.50 × 8,765.16
  4. Step 4: Simplify right side
    21,919.97x = 288,036,345.04
  5. Step 5: Solve for x
    x = 288,036,345.04/21,919.97
  6. Step 6: Final answer
    x = 13,140.36

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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.