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Finding the Fourth Proportional to 38,434, 57,651 and 9,250

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Solution

The fourth proportional to 38,434, 57,651 and 9,250 is: 13,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 57,651 = 9,250 : x
  2. Step 2: Convert to fraction form
    38,434/57,651 = 9,250/x
  3. Step 3: Cross multiply
    38,434x = 57,651 × 9,250
  4. Step 4: Simplify right side
    38,434x = 533,271,750
  5. Step 5: Solve for x
    x = 533,271,750/38,434
  6. Step 6: Final answer
    x = 13,875

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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.