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Finding the Fourth Proportional to 3,310.39, 4,966.39 and 1,230.47

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Solution

The fourth proportional to 3,310.39, 4,966.39 and 1,230.47 is: 1,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.39 : 4,966.39 = 1,230.47 : x
  2. Step 2: Convert to fraction form
    3,310.39/4,966.39 = 1,230.47/x
  3. Step 3: Cross multiply
    3,310.39x = 4,966.39 × 1,230.47
  4. Step 4: Simplify right side
    3,310.39x = 6,110,971.80
  5. Step 5: Solve for x
    x = 6,110,971.80/3,310.39
  6. Step 6: Final answer
    x = 1,846.00

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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.