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Finding the Fourth Proportional to 3,784.68, 5,205.24 and 3,037.47

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Solution

The fourth proportional to 3,784.68, 5,205.24 and 3,037.47 is: 4,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.68 : 5,205.24 = 3,037.47 : x
  2. Step 2: Convert to fraction form
    3,784.68/5,205.24 = 3,037.47/x
  3. Step 3: Cross multiply
    3,784.68x = 5,205.24 × 3,037.47
  4. Step 4: Simplify right side
    3,784.68x = 15,810,760.34
  5. Step 5: Solve for x
    x = 15,810,760.34/3,784.68
  6. Step 6: Final answer
    x = 4,177.57

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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.