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Finding the Fourth Proportional to 4,969.71, 6,858.32 and 2,731.64

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Solution

The fourth proportional to 4,969.71, 6,858.32 and 2,731.64 is: 3,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.71 : 6,858.32 = 2,731.64 : x
  2. Step 2: Convert to fraction form
    4,969.71/6,858.32 = 2,731.64/x
  3. Step 3: Cross multiply
    4,969.71x = 6,858.32 × 2,731.64
  4. Step 4: Simplify right side
    4,969.71x = 18,734,461.24
  5. Step 5: Solve for x
    x = 18,734,461.24/4,969.71
  6. Step 6: Final answer
    x = 3,769.73

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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.