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Finding the Fourth Proportional to 38,540, 57,810 and 9,356

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Solution

The fourth proportional to 38,540, 57,810 and 9,356 is: 14,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540 : 57,810 = 9,356 : x
  2. Step 2: Convert to fraction form
    38,540/57,810 = 9,356/x
  3. Step 3: Cross multiply
    38,540x = 57,810 × 9,356
  4. Step 4: Simplify right side
    38,540x = 540,870,360
  5. Step 5: Solve for x
    x = 540,870,360/38,540
  6. Step 6: Final answer
    x = 14,034

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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.