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Finding the Fourth Proportional to 6,509.70, 9,765 and 2,614.11

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Solution

The fourth proportional to 6,509.70, 9,765 and 2,614.11 is: 3,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.70 : 9,765 = 2,614.11 : x
  2. Step 2: Convert to fraction form
    6,509.70/9,765 = 2,614.11/x
  3. Step 3: Cross multiply
    6,509.70x = 9,765 × 2,614.11
  4. Step 4: Simplify right side
    6,509.70x = 25,526,735.33
  5. Step 5: Solve for x
    x = 25,526,735.33/6,509.70
  6. Step 6: Final answer
    x = 3,921.34

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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.