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Finding the Fourth Proportional to 8,696.90, 13,039.80 and 5,731.92

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Solution

The fourth proportional to 8,696.90, 13,039.80 and 5,731.92 is: 8,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.90 : 13,039.80 = 5,731.92 : x
  2. Step 2: Convert to fraction form
    8,696.90/13,039.80 = 5,731.92/x
  3. Step 3: Cross multiply
    8,696.90x = 13,039.80 × 5,731.92
  4. Step 4: Simplify right side
    8,696.90x = 74,743,090.42
  5. Step 5: Solve for x
    x = 74,743,090.42/8,696.90
  6. Step 6: Final answer
    x = 8,594.22

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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.