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Finding the Fourth Proportional to 6,400.05, 9,601.92 and 4,646.79

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Solution

The fourth proportional to 6,400.05, 9,601.92 and 4,646.79 is: 6,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.05 : 9,601.92 = 4,646.79 : x
  2. Step 2: Convert to fraction form
    6,400.05/9,601.92 = 4,646.79/x
  3. Step 3: Cross multiply
    6,400.05x = 9,601.92 × 4,646.79
  4. Step 4: Simplify right side
    6,400.05x = 44,618,105.84
  5. Step 5: Solve for x
    x = 44,618,105.84/6,400.05
  6. Step 6: Final answer
    x = 6,971.52

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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.