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Finding the Fourth Proportional to 6,646.76, 9,972.09 and 1,966.90

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Solution

The fourth proportional to 6,646.76, 9,972.09 and 1,966.90 is: 2,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,972.09 = 1,966.90 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,972.09 = 1,966.90/x
  3. Step 3: Cross multiply
    6,646.76x = 9,972.09 × 1,966.90
  4. Step 4: Simplify right side
    6,646.76x = 19,614,069.54
  5. Step 5: Solve for x
    x = 19,614,069.54/6,646.76
  6. Step 6: Final answer
    x = 2,950.92

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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.