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Finding the Fourth Proportional to 2,035.28, 3,050.80 and 940.40

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Solution

The fourth proportional to 2,035.28, 3,050.80 and 940.40 is: 1,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.28 : 3,050.80 = 940.40 : x
  2. Step 2: Convert to fraction form
    2,035.28/3,050.80 = 940.40/x
  3. Step 3: Cross multiply
    2,035.28x = 3,050.80 × 940.40
  4. Step 4: Simplify right side
    2,035.28x = 2,868,972.32
  5. Step 5: Solve for x
    x = 2,868,972.32/2,035.28
  6. Step 6: Final answer
    x = 1,409.62

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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.