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Finding the Fourth Proportional to 5,145, 7,716.50 and 2,509.86

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Solution

The fourth proportional to 5,145, 7,716.50 and 2,509.86 is: 3,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145 : 7,716.50 = 2,509.86 : x
  2. Step 2: Convert to fraction form
    5,145/7,716.50 = 2,509.86/x
  3. Step 3: Cross multiply
    5,145x = 7,716.50 × 2,509.86
  4. Step 4: Simplify right side
    5,145x = 19,367,334.69
  5. Step 5: Solve for x
    x = 19,367,334.69/5,145
  6. Step 6: Final answer
    x = 3,764.30

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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.