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Finding the Fourth Proportional to 6,239, 8,610 and 3,444.68

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Solution

The fourth proportional to 6,239, 8,610 and 3,444.68 is: 4,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239 : 8,610 = 3,444.68 : x
  2. Step 2: Convert to fraction form
    6,239/8,610 = 3,444.68/x
  3. Step 3: Cross multiply
    6,239x = 8,610 × 3,444.68
  4. Step 4: Simplify right side
    6,239x = 29,658,694.80
  5. Step 5: Solve for x
    x = 29,658,694.80/6,239
  6. Step 6: Final answer
    x = 4,753.76

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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.