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Finding the Fourth Proportional to 6,442.50, 9,665.12 and 2,000.07

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Solution

The fourth proportional to 6,442.50, 9,665.12 and 2,000.07 is: 3,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.50 : 9,665.12 = 2,000.07 : x
  2. Step 2: Convert to fraction form
    6,442.50/9,665.12 = 2,000.07/x
  3. Step 3: Cross multiply
    6,442.50x = 9,665.12 × 2,000.07
  4. Step 4: Simplify right side
    6,442.50x = 19,330,921.56
  5. Step 5: Solve for x
    x = 19,330,921.56/6,442.50
  6. Step 6: Final answer
    x = 3,000.53

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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.