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Finding the Fourth Proportional to 21,918.60, 32,874.12 and 7,876.08

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Solution

The fourth proportional to 21,918.60, 32,874.12 and 7,876.08 is: 11,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918.60 : 32,874.12 = 7,876.08 : x
  2. Step 2: Convert to fraction form
    21,918.60/32,874.12 = 7,876.08/x
  3. Step 3: Cross multiply
    21,918.60x = 32,874.12 × 7,876.08
  4. Step 4: Simplify right side
    21,918.60x = 258,919,199.05
  5. Step 5: Solve for x
    x = 258,919,199.05/21,918.60
  6. Step 6: Final answer
    x = 11,812.76

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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.