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Finding the Fourth Proportional to 3,775.39, 5,663.61 and 1,275.82

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Solution

The fourth proportional to 3,775.39, 5,663.61 and 1,275.82 is: 1,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.39 : 5,663.61 = 1,275.82 : x
  2. Step 2: Convert to fraction form
    3,775.39/5,663.61 = 1,275.82/x
  3. Step 3: Cross multiply
    3,775.39x = 5,663.61 × 1,275.82
  4. Step 4: Simplify right side
    3,775.39x = 7,225,732.75
  5. Step 5: Solve for x
    x = 7,225,732.75/3,775.39
  6. Step 6: Final answer
    x = 1,913.90

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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.