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Finding the Fourth Proportional to 38,277, 52,822.53 and 21,510

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Solution

The fourth proportional to 38,277, 52,822.53 and 21,510 is: 29,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 52,822.53 = 21,510 : x
  2. Step 2: Convert to fraction form
    38,277/52,822.53 = 21,510/x
  3. Step 3: Cross multiply
    38,277x = 52,822.53 × 21,510
  4. Step 4: Simplify right side
    38,277x = 1,136,212,620.30
  5. Step 5: Solve for x
    x = 1,136,212,620.30/38,277
  6. Step 6: Final answer
    x = 29,683.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.