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Finding the Fourth Proportional to 3,239, 4,857.70 and 1,389.91

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Solution

The fourth proportional to 3,239, 4,857.70 and 1,389.91 is: 2,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239 : 4,857.70 = 1,389.91 : x
  2. Step 2: Convert to fraction form
    3,239/4,857.70 = 1,389.91/x
  3. Step 3: Cross multiply
    3,239x = 4,857.70 × 1,389.91
  4. Step 4: Simplify right side
    3,239x = 6,751,734.57
  5. Step 5: Solve for x
    x = 6,751,734.57/3,239
  6. Step 6: Final answer
    x = 2,084.51

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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.