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Finding the Fourth Proportional to 6,646.91, 9,972.24 and 1,966.89

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Solution

The fourth proportional to 6,646.91, 9,972.24 and 1,966.89 is: 2,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.91 : 9,972.24 = 1,966.89 : x
  2. Step 2: Convert to fraction form
    6,646.91/9,972.24 = 1,966.89/x
  3. Step 3: Cross multiply
    6,646.91x = 9,972.24 × 1,966.89
  4. Step 4: Simplify right side
    6,646.91x = 19,614,299.13
  5. Step 5: Solve for x
    x = 19,614,299.13/6,646.91
  6. Step 6: Final answer
    x = 2,950.89

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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.