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Finding the Fourth Proportional to 4,891.68, 7,338.89 and 1,969.30

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Solution

The fourth proportional to 4,891.68, 7,338.89 and 1,969.30 is: 2,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.68 : 7,338.89 = 1,969.30 : x
  2. Step 2: Convert to fraction form
    4,891.68/7,338.89 = 1,969.30/x
  3. Step 3: Cross multiply
    4,891.68x = 7,338.89 × 1,969.30
  4. Step 4: Simplify right side
    4,891.68x = 14,452,476.08
  5. Step 5: Solve for x
    x = 14,452,476.08/4,891.68
  6. Step 6: Final answer
    x = 2,954.50

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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.