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Finding the Fourth Proportional to 38,170, 52,674.60 and 21,403

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Solution

The fourth proportional to 38,170, 52,674.60 and 21,403 is: 29,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170 : 52,674.60 = 21,403 : x
  2. Step 2: Convert to fraction form
    38,170/52,674.60 = 21,403/x
  3. Step 3: Cross multiply
    38,170x = 52,674.60 × 21,403
  4. Step 4: Simplify right side
    38,170x = 1,127,394,463.80
  5. Step 5: Solve for x
    x = 1,127,394,463.80/38,170
  6. Step 6: Final answer
    x = 29,536.14

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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.