Home / 6,442.96-9,664.08-2,282.80

Finding the Fourth Proportional to 6,442.96, 9,664.08 and 2,282.80

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Solution

The fourth proportional to 6,442.96, 9,664.08 and 2,282.80 is: 3,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.96 : 9,664.08 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    6,442.96/9,664.08 = 2,282.80/x
  3. Step 3: Cross multiply
    6,442.96x = 9,664.08 × 2,282.80
  4. Step 4: Simplify right side
    6,442.96x = 22,061,161.82
  5. Step 5: Solve for x
    x = 22,061,161.82/6,442.96
  6. Step 6: Final answer
    x = 3,424.07

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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.