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Finding the Fourth Proportional to 15,769.76, 21,762 and 8,696

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Solution

The fourth proportional to 15,769.76, 21,762 and 8,696 is: 12,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.76 : 21,762 = 8,696 : x
  2. Step 2: Convert to fraction form
    15,769.76/21,762 = 8,696/x
  3. Step 3: Cross multiply
    15,769.76x = 21,762 × 8,696
  4. Step 4: Simplify right side
    15,769.76x = 189,242,352
  5. Step 5: Solve for x
    x = 189,242,352/15,769.76
  6. Step 6: Final answer
    x = 12,000.33

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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.