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Finding the Fourth Proportional to 3,389.65, 5,083.99 and 1,310.63

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Solution

The fourth proportional to 3,389.65, 5,083.99 and 1,310.63 is: 1,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.65 : 5,083.99 = 1,310.63 : x
  2. Step 2: Convert to fraction form
    3,389.65/5,083.99 = 1,310.63/x
  3. Step 3: Cross multiply
    3,389.65x = 5,083.99 × 1,310.63
  4. Step 4: Simplify right side
    3,389.65x = 6,663,242.52
  5. Step 5: Solve for x
    x = 6,663,242.52/3,389.65
  6. Step 6: Final answer
    x = 1,965.76

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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.