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Finding the Fourth Proportional to 21,063, 31,599.36 and 7,212

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Solution

The fourth proportional to 21,063, 31,599.36 and 7,212 is: 10,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,063 : 31,599.36 = 7,212 : x
  2. Step 2: Convert to fraction form
    21,063/31,599.36 = 7,212/x
  3. Step 3: Cross multiply
    21,063x = 31,599.36 × 7,212
  4. Step 4: Simplify right side
    21,063x = 227,894,584.32
  5. Step 5: Solve for x
    x = 227,894,584.32/21,063
  6. Step 6: Final answer
    x = 10,819.66

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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.