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Finding the Fourth Proportional to 21,238.56, 31,857 and 7,199.64

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Solution

The fourth proportional to 21,238.56, 31,857 and 7,199.64 is: 10,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.56 : 31,857 = 7,199.64 : x
  2. Step 2: Convert to fraction form
    21,238.56/31,857 = 7,199.64/x
  3. Step 3: Cross multiply
    21,238.56x = 31,857 × 7,199.64
  4. Step 4: Simplify right side
    21,238.56x = 229,358,931.48
  5. Step 5: Solve for x
    x = 229,358,931.48/21,238.56
  6. Step 6: Final answer
    x = 10,799.18

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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.