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Finding the Fourth Proportional to 21,105.16, 31,662.16 and 7,957.44

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Solution

The fourth proportional to 21,105.16, 31,662.16 and 7,957.44 is: 11,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.16 : 31,662.16 = 7,957.44 : x
  2. Step 2: Convert to fraction form
    21,105.16/31,662.16 = 7,957.44/x
  3. Step 3: Cross multiply
    21,105.16x = 31,662.16 × 7,957.44
  4. Step 4: Simplify right side
    21,105.16x = 251,949,718.58
  5. Step 5: Solve for x
    x = 251,949,718.58/21,105.16
  6. Step 6: Final answer
    x = 11,937.83

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1.5x scale

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.