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Finding the Fourth Proportional to 1,963.80, 2,948.28 and 1,142.64

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Solution

The fourth proportional to 1,963.80, 2,948.28 and 1,142.64 is: 1,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.80 : 2,948.28 = 1,142.64 : x
  2. Step 2: Convert to fraction form
    1,963.80/2,948.28 = 1,142.64/x
  3. Step 3: Cross multiply
    1,963.80x = 2,948.28 × 1,142.64
  4. Step 4: Simplify right side
    1,963.80x = 3,368,822.66
  5. Step 5: Solve for x
    x = 3,368,822.66/1,963.80
  6. Step 6: Final answer
    x = 1,715.46

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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.