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Finding the Fourth Proportional to 3,390.98, 5,085.74 and 1,310.30

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Solution

The fourth proportional to 3,390.98, 5,085.74 and 1,310.30 is: 1,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.98 : 5,085.74 = 1,310.30 : x
  2. Step 2: Convert to fraction form
    3,390.98/5,085.74 = 1,310.30/x
  3. Step 3: Cross multiply
    3,390.98x = 5,085.74 × 1,310.30
  4. Step 4: Simplify right side
    3,390.98x = 6,663,813.14
  5. Step 5: Solve for x
    x = 6,663,813.14/3,390.98
  6. Step 6: Final answer
    x = 1,965.16

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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.