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Finding the Fourth Proportional to 1,913.64, 2,640.78 and 1,127.70

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Solution

The fourth proportional to 1,913.64, 2,640.78 and 1,127.70 is: 1,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.64 : 2,640.78 = 1,127.70 : x
  2. Step 2: Convert to fraction form
    1,913.64/2,640.78 = 1,127.70/x
  3. Step 3: Cross multiply
    1,913.64x = 2,640.78 × 1,127.70
  4. Step 4: Simplify right side
    1,913.64x = 2,978,007.61
  5. Step 5: Solve for x
    x = 2,978,007.61/1,913.64
  6. Step 6: Final answer
    x = 1,556.20

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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.