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Finding the Fourth Proportional to 8,722, 12,036.54 and 4,996

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Solution

The fourth proportional to 8,722, 12,036.54 and 4,996 is: 6,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722 : 12,036.54 = 4,996 : x
  2. Step 2: Convert to fraction form
    8,722/12,036.54 = 4,996/x
  3. Step 3: Cross multiply
    8,722x = 12,036.54 × 4,996
  4. Step 4: Simplify right side
    8,722x = 60,134,553.84
  5. Step 5: Solve for x
    x = 60,134,553.84/8,722
  6. Step 6: Final answer
    x = 6,894.58

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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.