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Finding the Fourth Proportional to 6,602.09, 9,906.78 and 3,970.40

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Solution

The fourth proportional to 6,602.09, 9,906.78 and 3,970.40 is: 5,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.09 : 9,906.78 = 3,970.40 : x
  2. Step 2: Convert to fraction form
    6,602.09/9,906.78 = 3,970.40/x
  3. Step 3: Cross multiply
    6,602.09x = 9,906.78 × 3,970.40
  4. Step 4: Simplify right side
    6,602.09x = 39,333,879.31
  5. Step 5: Solve for x
    x = 39,333,879.31/6,602.09
  6. Step 6: Final answer
    x = 5,957.79

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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.