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Finding the Fourth Proportional to 6,691.84, 10,038 and 3,395.68

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Solution

The fourth proportional to 6,691.84, 10,038 and 3,395.68 is: 5,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.84 : 10,038 = 3,395.68 : x
  2. Step 2: Convert to fraction form
    6,691.84/10,038 = 3,395.68/x
  3. Step 3: Cross multiply
    6,691.84x = 10,038 × 3,395.68
  4. Step 4: Simplify right side
    6,691.84x = 34,085,835.84
  5. Step 5: Solve for x
    x = 34,085,835.84/6,691.84
  6. Step 6: Final answer
    x = 5,093.64

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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.