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Finding the Fourth Proportional to 2,085.99, 3,129.14 and 837.06

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Solution

The fourth proportional to 2,085.99, 3,129.14 and 837.06 is: 1,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.99 : 3,129.14 = 837.06 : x
  2. Step 2: Convert to fraction form
    2,085.99/3,129.14 = 837.06/x
  3. Step 3: Cross multiply
    2,085.99x = 3,129.14 × 837.06
  4. Step 4: Simplify right side
    2,085.99x = 2,619,277.93
  5. Step 5: Solve for x
    x = 2,619,277.93/2,085.99
  6. Step 6: Final answer
    x = 1,255.65

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Double scale
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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.