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Finding the Fourth Proportional to 1,763.78, 2,640.47 and 1,303.61

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Solution

The fourth proportional to 1,763.78, 2,640.47 and 1,303.61 is: 1,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.78 : 2,640.47 = 1,303.61 : x
  2. Step 2: Convert to fraction form
    1,763.78/2,640.47 = 1,303.61/x
  3. Step 3: Cross multiply
    1,763.78x = 2,640.47 × 1,303.61
  4. Step 4: Simplify right side
    1,763.78x = 3,442,134.82
  5. Step 5: Solve for x
    x = 3,442,134.82/1,763.78
  6. Step 6: Final answer
    x = 1,951.57

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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.