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Finding the Fourth Proportional to 2,840.46, 3,919.14 and 1,895.10

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Solution

The fourth proportional to 2,840.46, 3,919.14 and 1,895.10 is: 2,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.46 : 3,919.14 = 1,895.10 : x
  2. Step 2: Convert to fraction form
    2,840.46/3,919.14 = 1,895.10/x
  3. Step 3: Cross multiply
    2,840.46x = 3,919.14 × 1,895.10
  4. Step 4: Simplify right side
    2,840.46x = 7,427,162.21
  5. Step 5: Solve for x
    x = 7,427,162.21/2,840.46
  6. Step 6: Final answer
    x = 2,614.77

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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.