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Finding the Fourth Proportional to 3,775.16, 5,663.46 and 1,309.88

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Solution

The fourth proportional to 3,775.16, 5,663.46 and 1,309.88 is: 1,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.16 : 5,663.46 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    3,775.16/5,663.46 = 1,309.88/x
  3. Step 3: Cross multiply
    3,775.16x = 5,663.46 × 1,309.88
  4. Step 4: Simplify right side
    3,775.16x = 7,418,452.98
  5. Step 5: Solve for x
    x = 7,418,452.98/3,775.16
  6. Step 6: Final answer
    x = 1,965.07

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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.