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Finding the Fourth Proportional to 6,400.67, 9,601.20 and 2,018.16

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Solution

The fourth proportional to 6,400.67, 9,601.20 and 2,018.16 is: 3,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.67 : 9,601.20 = 2,018.16 : x
  2. Step 2: Convert to fraction form
    6,400.67/9,601.20 = 2,018.16/x
  3. Step 3: Cross multiply
    6,400.67x = 9,601.20 × 2,018.16
  4. Step 4: Simplify right side
    6,400.67x = 19,376,757.79
  5. Step 5: Solve for x
    x = 19,376,757.79/6,400.67
  6. Step 6: Final answer
    x = 3,027.30

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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.