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Finding the Fourth Proportional to 3,685, 5,085.25 and 2,192.89

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Solution

The fourth proportional to 3,685, 5,085.25 and 2,192.89 is: 3,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685 : 5,085.25 = 2,192.89 : x
  2. Step 2: Convert to fraction form
    3,685/5,085.25 = 2,192.89/x
  3. Step 3: Cross multiply
    3,685x = 5,085.25 × 2,192.89
  4. Step 4: Simplify right side
    3,685x = 11,151,393.87
  5. Step 5: Solve for x
    x = 11,151,393.87/3,685
  6. Step 6: Final answer
    x = 3,026.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.