Home / 2,074.12-3,111.18-613.16

Finding the Fourth Proportional to 2,074.12, 3,111.18 and 613.16

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Solution

The fourth proportional to 2,074.12, 3,111.18 and 613.16 is: 919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.12 : 3,111.18 = 613.16 : x
  2. Step 2: Convert to fraction form
    2,074.12/3,111.18 = 613.16/x
  3. Step 3: Cross multiply
    2,074.12x = 3,111.18 × 613.16
  4. Step 4: Simplify right side
    2,074.12x = 1,907,639.11
  5. Step 5: Solve for x
    x = 1,907,639.11/2,074.12
  6. Step 6: Final answer
    x = 919.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.