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Finding the Fourth Proportional to 6,509.57, 9,758.48 and 5,528.66

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Solution

The fourth proportional to 6,509.57, 9,758.48 and 5,528.66 is: 8,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.57 : 9,758.48 = 5,528.66 : x
  2. Step 2: Convert to fraction form
    6,509.57/9,758.48 = 5,528.66/x
  3. Step 3: Cross multiply
    6,509.57x = 9,758.48 × 5,528.66
  4. Step 4: Simplify right side
    6,509.57x = 53,951,241.60
  5. Step 5: Solve for x
    x = 53,951,241.60/6,509.57
  6. Step 6: Final answer
    x = 8,287.99

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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.