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Finding the Fourth Proportional to 38,177, 52,684.26 and 21,410

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Solution

The fourth proportional to 38,177, 52,684.26 and 21,410 is: 29,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177 : 52,684.26 = 21,410 : x
  2. Step 2: Convert to fraction form
    38,177/52,684.26 = 21,410/x
  3. Step 3: Cross multiply
    38,177x = 52,684.26 × 21,410
  4. Step 4: Simplify right side
    38,177x = 1,127,970,006.60
  5. Step 5: Solve for x
    x = 1,127,970,006.60/38,177
  6. Step 6: Final answer
    x = 29,545.80

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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.