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Finding the Fourth Proportional to 6,507.09, 9,765.90 and 3,697.65

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Solution

The fourth proportional to 6,507.09, 9,765.90 and 3,697.65 is: 5,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.09 : 9,765.90 = 3,697.65 : x
  2. Step 2: Convert to fraction form
    6,507.09/9,765.90 = 3,697.65/x
  3. Step 3: Cross multiply
    6,507.09x = 9,765.90 × 3,697.65
  4. Step 4: Simplify right side
    6,507.09x = 36,110,880.14
  5. Step 5: Solve for x
    x = 36,110,880.14/6,507.09
  6. Step 6: Final answer
    x = 5,549.47

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1.5x scale

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.