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Finding the Fourth Proportional to 21,664, 32,497.15 and 6,874.07

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Solution

The fourth proportional to 21,664, 32,497.15 and 6,874.07 is: 10,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664 : 32,497.15 = 6,874.07 : x
  2. Step 2: Convert to fraction form
    21,664/32,497.15 = 6,874.07/x
  3. Step 3: Cross multiply
    21,664x = 32,497.15 × 6,874.07
  4. Step 4: Simplify right side
    21,664x = 223,387,683.90
  5. Step 5: Solve for x
    x = 223,387,683.90/21,664
  6. Step 6: Final answer
    x = 10,311.47

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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.