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Finding the Fourth Proportional to 3,646.32, 5,032.32 and 2,074.80

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Solution

The fourth proportional to 3,646.32, 5,032.32 and 2,074.80 is: 2,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.32 : 5,032.32 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    3,646.32/5,032.32 = 2,074.80/x
  3. Step 3: Cross multiply
    3,646.32x = 5,032.32 × 2,074.80
  4. Step 4: Simplify right side
    3,646.32x = 10,441,057.54
  5. Step 5: Solve for x
    x = 10,441,057.54/3,646.32
  6. Step 6: Final answer
    x = 2,863.45

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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.