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Finding the Fourth Proportional to 38,193, 52,707.15 and 21,426

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Solution

The fourth proportional to 38,193, 52,707.15 and 21,426 is: 29,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193 : 52,707.15 = 21,426 : x
  2. Step 2: Convert to fraction form
    38,193/52,707.15 = 21,426/x
  3. Step 3: Cross multiply
    38,193x = 52,707.15 × 21,426
  4. Step 4: Simplify right side
    38,193x = 1,129,303,395.90
  5. Step 5: Solve for x
    x = 1,129,303,395.90/38,193
  6. Step 6: Final answer
    x = 29,568.33

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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.