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Finding the Fourth Proportional to 6,666.12, 9,974.51 and 5,345.84

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Solution

The fourth proportional to 6,666.12, 9,974.51 and 5,345.84 is: 7,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.12 : 9,974.51 = 5,345.84 : x
  2. Step 2: Convert to fraction form
    6,666.12/9,974.51 = 5,345.84/x
  3. Step 3: Cross multiply
    6,666.12x = 9,974.51 × 5,345.84
  4. Step 4: Simplify right side
    6,666.12x = 53,322,057.94
  5. Step 5: Solve for x
    x = 53,322,057.94/6,666.12
  6. Step 6: Final answer
    x = 7,998.96

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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.