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Finding the Fourth Proportional to 8,850, 12,213 and 5,124

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Solution

The fourth proportional to 8,850, 12,213 and 5,124 is: 7,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,850 : 12,213 = 5,124 : x
  2. Step 2: Convert to fraction form
    8,850/12,213 = 5,124/x
  3. Step 3: Cross multiply
    8,850x = 12,213 × 5,124
  4. Step 4: Simplify right side
    8,850x = 62,579,412
  5. Step 5: Solve for x
    x = 62,579,412/8,850
  6. Step 6: Final answer
    x = 7,071.12

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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.