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Finding the Fourth Proportional to 6,442.46, 9,665.20 and 1,999.90

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Solution

The fourth proportional to 6,442.46, 9,665.20 and 1,999.90 is: 3,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.46 : 9,665.20 = 1,999.90 : x
  2. Step 2: Convert to fraction form
    6,442.46/9,665.20 = 1,999.90/x
  3. Step 3: Cross multiply
    6,442.46x = 9,665.20 × 1,999.90
  4. Step 4: Simplify right side
    6,442.46x = 19,329,433.48
  5. Step 5: Solve for x
    x = 19,329,433.48/6,442.46
  6. Step 6: Final answer
    x = 3,000.32

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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.