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Finding the Fourth Proportional to 6,439.62, 9,660 and 1,822.62

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Solution

The fourth proportional to 6,439.62, 9,660 and 1,822.62 is: 2,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.62 : 9,660 = 1,822.62 : x
  2. Step 2: Convert to fraction form
    6,439.62/9,660 = 1,822.62/x
  3. Step 3: Cross multiply
    6,439.62x = 9,660 × 1,822.62
  4. Step 4: Simplify right side
    6,439.62x = 17,606,509.20
  5. Step 5: Solve for x
    x = 17,606,509.20/6,439.62
  6. Step 6: Final answer
    x = 2,734.09

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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.