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Finding the Fourth Proportional to 15,769.92, 21,762.36 and 8,696.10

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Solution

The fourth proportional to 15,769.92, 21,762.36 and 8,696.10 is: 12,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.92 : 21,762.36 = 8,696.10 : x
  2. Step 2: Convert to fraction form
    15,769.92/21,762.36 = 8,696.10/x
  3. Step 3: Cross multiply
    15,769.92x = 21,762.36 × 8,696.10
  4. Step 4: Simplify right side
    15,769.92x = 189,247,658.80
  5. Step 5: Solve for x
    x = 189,247,658.80/15,769.92
  6. Step 6: Final answer
    x = 12,000.55

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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.