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Finding the Fourth Proportional to 2,085.14, 3,127.70 and 717.14

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Solution

The fourth proportional to 2,085.14, 3,127.70 and 717.14 is: 1,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.14 : 3,127.70 = 717.14 : x
  2. Step 2: Convert to fraction form
    2,085.14/3,127.70 = 717.14/x
  3. Step 3: Cross multiply
    2,085.14x = 3,127.70 × 717.14
  4. Step 4: Simplify right side
    2,085.14x = 2,242,998.78
  5. Step 5: Solve for x
    x = 2,242,998.78/2,085.14
  6. Step 6: Final answer
    x = 1,075.71

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Similar ratio
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1.5x scale

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.