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Finding the Fourth Proportional to 6,442.92, 9,664.85 and 2,000.00

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Solution

The fourth proportional to 6,442.92, 9,664.85 and 2,000.00 is: 3,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.92 : 9,664.85 = 2,000.00 : x
  2. Step 2: Convert to fraction form
    6,442.92/9,664.85 = 2,000.00/x
  3. Step 3: Cross multiply
    6,442.92x = 9,664.85 × 2,000.00
  4. Step 4: Simplify right side
    6,442.92x = 19,329,729.16
  5. Step 5: Solve for x
    x = 19,329,729.16/6,442.92
  6. Step 6: Final answer
    x = 3,000.15

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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.