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Finding the Fourth Proportional to 15,769.80, 21,762.18 and 8,696.07

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Solution

The fourth proportional to 15,769.80, 21,762.18 and 8,696.07 is: 12,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.80 : 21,762.18 = 8,696.07 : x
  2. Step 2: Convert to fraction form
    15,769.80/21,762.18 = 8,696.07/x
  3. Step 3: Cross multiply
    15,769.80x = 21,762.18 × 8,696.07
  4. Step 4: Simplify right side
    15,769.80x = 189,245,440.63
  5. Step 5: Solve for x
    x = 189,245,440.63/15,769.80
  6. Step 6: Final answer
    x = 12,000.50

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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.