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Finding the Fourth Proportional to 21,122.64, 31,683.92 and 8,648.48

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Solution

The fourth proportional to 21,122.64, 31,683.92 and 8,648.48 is: 12,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.64 : 31,683.92 = 8,648.48 : x
  2. Step 2: Convert to fraction form
    21,122.64/31,683.92 = 8,648.48/x
  3. Step 3: Cross multiply
    21,122.64x = 31,683.92 × 8,648.48
  4. Step 4: Simplify right side
    21,122.64x = 274,017,748.44
  5. Step 5: Solve for x
    x = 274,017,748.44/21,122.64
  6. Step 6: Final answer
    x = 12,972.70

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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.