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Finding the Fourth Proportional to 2,874.64, 4,314.12 and 2,107.12

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Solution

The fourth proportional to 2,874.64, 4,314.12 and 2,107.12 is: 3,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.64 : 4,314.12 = 2,107.12 : x
  2. Step 2: Convert to fraction form
    2,874.64/4,314.12 = 2,107.12/x
  3. Step 3: Cross multiply
    2,874.64x = 4,314.12 × 2,107.12
  4. Step 4: Simplify right side
    2,874.64x = 9,090,368.53
  5. Step 5: Solve for x
    x = 9,090,368.53/2,874.64
  6. Step 6: Final answer
    x = 3,162.26

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1.5x scale

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.