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Finding the Fourth Proportional to 3,777.47, 5,212.87 and 2,098.88

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Solution

The fourth proportional to 3,777.47, 5,212.87 and 2,098.88 is: 2,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.47 : 5,212.87 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    3,777.47/5,212.87 = 2,098.88/x
  3. Step 3: Cross multiply
    3,777.47x = 5,212.87 × 2,098.88
  4. Step 4: Simplify right side
    3,777.47x = 10,941,152.03
  5. Step 5: Solve for x
    x = 10,941,152.03/3,777.47
  6. Step 6: Final answer
    x = 2,896.43

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Double scale
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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.