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Finding the Fourth Proportional to 6,561.57, 9,842.16 and 2,665.89

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Solution

The fourth proportional to 6,561.57, 9,842.16 and 2,665.89 is: 3,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.57 : 9,842.16 = 2,665.89 : x
  2. Step 2: Convert to fraction form
    6,561.57/9,842.16 = 2,665.89/x
  3. Step 3: Cross multiply
    6,561.57x = 9,842.16 × 2,665.89
  4. Step 4: Simplify right side
    6,561.57x = 26,238,115.92
  5. Step 5: Solve for x
    x = 26,238,115.92/6,561.57
  6. Step 6: Final answer
    x = 3,998.76

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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.