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Finding the Fourth Proportional to 38,466, 53,083.24 and 20,802

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Solution

The fourth proportional to 38,466, 53,083.24 and 20,802 is: 28,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 53,083.24 = 20,802 : x
  2. Step 2: Convert to fraction form
    38,466/53,083.24 = 20,802/x
  3. Step 3: Cross multiply
    38,466x = 53,083.24 × 20,802
  4. Step 4: Simplify right side
    38,466x = 1,104,237,558.48
  5. Step 5: Solve for x
    x = 1,104,237,558.48/38,466
  6. Step 6: Final answer
    x = 28,706.85

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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.