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Finding the Fourth Proportional to 6,645.94, 9,970.73 and 1,966.18

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Solution

The fourth proportional to 6,645.94, 9,970.73 and 1,966.18 is: 2,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.94 : 9,970.73 = 1,966.18 : x
  2. Step 2: Convert to fraction form
    6,645.94/9,970.73 = 1,966.18/x
  3. Step 3: Cross multiply
    6,645.94x = 9,970.73 × 1,966.18
  4. Step 4: Simplify right side
    6,645.94x = 19,604,249.91
  5. Step 5: Solve for x
    x = 19,604,249.91/6,645.94
  6. Step 6: Final answer
    x = 2,949.81

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Similar ratio
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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.