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Finding the Fourth Proportional to 5,265, 7,891.35 and 2,923.90

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Solution

The fourth proportional to 5,265, 7,891.35 and 2,923.90 is: 4,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 7,891.35 = 2,923.90 : x
  2. Step 2: Convert to fraction form
    5,265/7,891.35 = 2,923.90/x
  3. Step 3: Cross multiply
    5,265x = 7,891.35 × 2,923.90
  4. Step 4: Simplify right side
    5,265x = 23,073,495.80
  5. Step 5: Solve for x
    x = 23,073,495.80/5,265
  6. Step 6: Final answer
    x = 4,382.43

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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.