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Finding the Fourth Proportional to 21,851.78, 32,778.90 and 6,269

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Solution

The fourth proportional to 21,851.78, 32,778.90 and 6,269 is: 9,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.78 : 32,778.90 = 6,269 : x
  2. Step 2: Convert to fraction form
    21,851.78/32,778.90 = 6,269/x
  3. Step 3: Cross multiply
    21,851.78x = 32,778.90 × 6,269
  4. Step 4: Simplify right side
    21,851.78x = 205,490,924.10
  5. Step 5: Solve for x
    x = 205,490,924.10/21,851.78
  6. Step 6: Final answer
    x = 9,403.85

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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.