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Finding the Fourth Proportional to 6,458.78, 9,681.21 and 3,337.94

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Solution

The fourth proportional to 6,458.78, 9,681.21 and 3,337.94 is: 5,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.78 : 9,681.21 = 3,337.94 : x
  2. Step 2: Convert to fraction form
    6,458.78/9,681.21 = 3,337.94/x
  3. Step 3: Cross multiply
    6,458.78x = 9,681.21 × 3,337.94
  4. Step 4: Simplify right side
    6,458.78x = 32,315,249.70
  5. Step 5: Solve for x
    x = 32,315,249.70/6,458.78
  6. Step 6: Final answer
    x = 5,003.31

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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.