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Finding the Fourth Proportional to 2,362.77, 3,264.71 and 1,942.38

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Solution

The fourth proportional to 2,362.77, 3,264.71 and 1,942.38 is: 2,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.77 : 3,264.71 = 1,942.38 : x
  2. Step 2: Convert to fraction form
    2,362.77/3,264.71 = 1,942.38/x
  3. Step 3: Cross multiply
    2,362.77x = 3,264.71 × 1,942.38
  4. Step 4: Simplify right side
    2,362.77x = 6,341,297.70
  5. Step 5: Solve for x
    x = 6,341,297.70/2,362.77
  6. Step 6: Final answer
    x = 2,683.84

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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.