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Finding the Fourth Proportional to 6,646.86, 9,966.83 and 2,950.20

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Solution

The fourth proportional to 6,646.86, 9,966.83 and 2,950.20 is: 4,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.86 : 9,966.83 = 2,950.20 : x
  2. Step 2: Convert to fraction form
    6,646.86/9,966.83 = 2,950.20/x
  3. Step 3: Cross multiply
    6,646.86x = 9,966.83 × 2,950.20
  4. Step 4: Simplify right side
    6,646.86x = 29,404,127.12
  5. Step 5: Solve for x
    x = 29,404,127.12/6,646.86
  6. Step 6: Final answer
    x = 4,423.76

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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.