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Finding the Fourth Proportional to 3,646.81, 5,032.41 and 2,074.87

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Solution

The fourth proportional to 3,646.81, 5,032.41 and 2,074.87 is: 2,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.81 : 5,032.41 = 2,074.87 : x
  2. Step 2: Convert to fraction form
    3,646.81/5,032.41 = 2,074.87/x
  3. Step 3: Cross multiply
    3,646.81x = 5,032.41 × 2,074.87
  4. Step 4: Simplify right side
    3,646.81x = 10,441,596.54
  5. Step 5: Solve for x
    x = 10,441,596.54/3,646.81
  6. Step 6: Final answer
    x = 2,863.21

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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.