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Finding the Fourth Proportional to 1,293.44, 1,941.84 and 1,288.64

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Solution

The fourth proportional to 1,293.44, 1,941.84 and 1,288.64 is: 1,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.44 : 1,941.84 = 1,288.64 : x
  2. Step 2: Convert to fraction form
    1,293.44/1,941.84 = 1,288.64/x
  3. Step 3: Cross multiply
    1,293.44x = 1,941.84 × 1,288.64
  4. Step 4: Simplify right side
    1,293.44x = 2,502,332.70
  5. Step 5: Solve for x
    x = 2,502,332.70/1,293.44
  6. Step 6: Final answer
    x = 1,934.63

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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.