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Finding the Fourth Proportional to 57,448, 86,172 and 15,895

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Solution

The fourth proportional to 57,448, 86,172 and 15,895 is: 23,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,448 : 86,172 = 15,895 : x
  2. Step 2: Convert to fraction form
    57,448/86,172 = 15,895/x
  3. Step 3: Cross multiply
    57,448x = 86,172 × 15,895
  4. Step 4: Simplify right side
    57,448x = 1,369,703,940
  5. Step 5: Solve for x
    x = 1,369,703,940/57,448
  6. Step 6: Final answer
    x = 23,842.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.