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Finding the Fourth Proportional to 2,447.97, 3,666.99 and 1,955.22

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Solution

The fourth proportional to 2,447.97, 3,666.99 and 1,955.22 is: 2,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.97 : 3,666.99 = 1,955.22 : x
  2. Step 2: Convert to fraction form
    2,447.97/3,666.99 = 1,955.22/x
  3. Step 3: Cross multiply
    2,447.97x = 3,666.99 × 1,955.22
  4. Step 4: Simplify right side
    2,447.97x = 7,169,772.19
  5. Step 5: Solve for x
    x = 7,169,772.19/2,447.97
  6. Step 6: Final answer
    x = 2,928.86

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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.