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Finding the Fourth Proportional to 6,500.40, 9,751.92 and 3,209.64

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Solution

The fourth proportional to 6,500.40, 9,751.92 and 3,209.64 is: 4,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.40 : 9,751.92 = 3,209.64 : x
  2. Step 2: Convert to fraction form
    6,500.40/9,751.92 = 3,209.64/x
  3. Step 3: Cross multiply
    6,500.40x = 9,751.92 × 3,209.64
  4. Step 4: Simplify right side
    6,500.40x = 31,300,152.51
  5. Step 5: Solve for x
    x = 31,300,152.51/6,500.40
  6. Step 6: Final answer
    x = 4,815.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.