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Finding the Fourth Proportional to 15,213, 22,822.38 and 7,005

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Solution

The fourth proportional to 15,213, 22,822.38 and 7,005 is: 10,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213 : 22,822.38 = 7,005 : x
  2. Step 2: Convert to fraction form
    15,213/22,822.38 = 7,005/x
  3. Step 3: Cross multiply
    15,213x = 22,822.38 × 7,005
  4. Step 4: Simplify right side
    15,213x = 159,870,771.90
  5. Step 5: Solve for x
    x = 159,870,771.90/15,213
  6. Step 6: Final answer
    x = 10,508.83

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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.