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Finding the Fourth Proportional to 6,540.68, 9,811.30 and 3,075.50

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Solution

The fourth proportional to 6,540.68, 9,811.30 and 3,075.50 is: 4,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.68 : 9,811.30 = 3,075.50 : x
  2. Step 2: Convert to fraction form
    6,540.68/9,811.30 = 3,075.50/x
  3. Step 3: Cross multiply
    6,540.68x = 9,811.30 × 3,075.50
  4. Step 4: Simplify right side
    6,540.68x = 30,174,653.15
  5. Step 5: Solve for x
    x = 30,174,653.15/6,540.68
  6. Step 6: Final answer
    x = 4,613.38

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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.