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Finding the Fourth Proportional to 21,898, 32,851.92 and 6,314.44

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Solution

The fourth proportional to 21,898, 32,851.92 and 6,314.44 is: 9,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898 : 32,851.92 = 6,314.44 : x
  2. Step 2: Convert to fraction form
    21,898/32,851.92 = 6,314.44/x
  3. Step 3: Cross multiply
    21,898x = 32,851.92 × 6,314.44
  4. Step 4: Simplify right side
    21,898x = 207,441,477.72
  5. Step 5: Solve for x
    x = 207,441,477.72/21,898
  6. Step 6: Final answer
    x = 9,473.08

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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.