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Finding the Fourth Proportional to 2,278.74, 3,395.07 and 2,246.64

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Solution

The fourth proportional to 2,278.74, 3,395.07 and 2,246.64 is: 3,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.74 : 3,395.07 = 2,246.64 : x
  2. Step 2: Convert to fraction form
    2,278.74/3,395.07 = 2,246.64/x
  3. Step 3: Cross multiply
    2,278.74x = 3,395.07 × 2,246.64
  4. Step 4: Simplify right side
    2,278.74x = 7,627,500.06
  5. Step 5: Solve for x
    x = 7,627,500.06/2,278.74
  6. Step 6: Final answer
    x = 3,347.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.