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Finding the Fourth Proportional to 6,929, 9,562.07 and 3,785.39

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Solution

The fourth proportional to 6,929, 9,562.07 and 3,785.39 is: 5,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929 : 9,562.07 = 3,785.39 : x
  2. Step 2: Convert to fraction form
    6,929/9,562.07 = 3,785.39/x
  3. Step 3: Cross multiply
    6,929x = 9,562.07 × 3,785.39
  4. Step 4: Simplify right side
    6,929x = 36,196,164.16
  5. Step 5: Solve for x
    x = 36,196,164.16/6,929
  6. Step 6: Final answer
    x = 5,223.87

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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.