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Finding the Fourth Proportional to 6,509.99, 9,765.18 and 2,811.53

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Solution

The fourth proportional to 6,509.99, 9,765.18 and 2,811.53 is: 4,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.99 : 9,765.18 = 2,811.53 : x
  2. Step 2: Convert to fraction form
    6,509.99/9,765.18 = 2,811.53/x
  3. Step 3: Cross multiply
    6,509.99x = 9,765.18 × 2,811.53
  4. Step 4: Simplify right side
    6,509.99x = 27,455,047.70
  5. Step 5: Solve for x
    x = 27,455,047.70/6,509.99
  6. Step 6: Final answer
    x = 4,217.37

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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.