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Finding the Fourth Proportional to 5,777.90, 7,976.36 and 3,655.30

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Solution

The fourth proportional to 5,777.90, 7,976.36 and 3,655.30 is: 5,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.90 : 7,976.36 = 3,655.30 : x
  2. Step 2: Convert to fraction form
    5,777.90/7,976.36 = 3,655.30/x
  3. Step 3: Cross multiply
    5,777.90x = 7,976.36 × 3,655.30
  4. Step 4: Simplify right side
    5,777.90x = 29,155,988.71
  5. Step 5: Solve for x
    x = 29,155,988.71/5,777.90
  6. Step 6: Final answer
    x = 5,046.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.