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Finding the Fourth Proportional to 6,975.99, 10,464.19 and 1,781.87

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Solution

The fourth proportional to 6,975.99, 10,464.19 and 1,781.87 is: 2,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.99 : 10,464.19 = 1,781.87 : x
  2. Step 2: Convert to fraction form
    6,975.99/10,464.19 = 1,781.87/x
  3. Step 3: Cross multiply
    6,975.99x = 10,464.19 × 1,781.87
  4. Step 4: Simplify right side
    6,975.99x = 18,645,769.46
  5. Step 5: Solve for x
    x = 18,645,769.46/6,975.99
  6. Step 6: Final answer
    x = 2,672.85

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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.