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Finding the Fourth Proportional to 3,861, 5,329.49 and 2,406.92

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Solution

The fourth proportional to 3,861, 5,329.49 and 2,406.92 is: 3,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861 : 5,329.49 = 2,406.92 : x
  2. Step 2: Convert to fraction form
    3,861/5,329.49 = 2,406.92/x
  3. Step 3: Cross multiply
    3,861x = 5,329.49 × 2,406.92
  4. Step 4: Simplify right side
    3,861x = 12,827,656.07
  5. Step 5: Solve for x
    x = 12,827,656.07/3,861
  6. Step 6: Final answer
    x = 3,322.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.