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Finding the Fourth Proportional to 6,696.48, 10,031.76 and 5,149.92

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Solution

The fourth proportional to 6,696.48, 10,031.76 and 5,149.92 is: 7,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.48 : 10,031.76 = 5,149.92 : x
  2. Step 2: Convert to fraction form
    6,696.48/10,031.76 = 5,149.92/x
  3. Step 3: Cross multiply
    6,696.48x = 10,031.76 × 5,149.92
  4. Step 4: Simplify right side
    6,696.48x = 51,662,761.46
  5. Step 5: Solve for x
    x = 51,662,761.46/6,696.48
  6. Step 6: Final answer
    x = 7,714.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.