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Finding the Fourth Proportional to 15,900, 21,942 and 9,276

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Solution

The fourth proportional to 15,900, 21,942 and 9,276 is: 12,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900 : 21,942 = 9,276 : x
  2. Step 2: Convert to fraction form
    15,900/21,942 = 9,276/x
  3. Step 3: Cross multiply
    15,900x = 21,942 × 9,276
  4. Step 4: Simplify right side
    15,900x = 203,533,992
  5. Step 5: Solve for x
    x = 203,533,992/15,900
  6. Step 6: Final answer
    x = 12,800.88

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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.