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Finding the Fourth Proportional to 1,963.81, 2,709.75 and 1,124.32

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Solution

The fourth proportional to 1,963.81, 2,709.75 and 1,124.32 is: 1,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.81 : 2,709.75 = 1,124.32 : x
  2. Step 2: Convert to fraction form
    1,963.81/2,709.75 = 1,124.32/x
  3. Step 3: Cross multiply
    1,963.81x = 2,709.75 × 1,124.32
  4. Step 4: Simplify right side
    1,963.81x = 3,046,626.12
  5. Step 5: Solve for x
    x = 3,046,626.12/1,963.81
  6. Step 6: Final answer
    x = 1,551.39

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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.