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Finding the Fourth Proportional to 7,089.80, 9,784.64 and 3,947

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Solution

The fourth proportional to 7,089.80, 9,784.64 and 3,947 is: 5,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.80 : 9,784.64 = 3,947 : x
  2. Step 2: Convert to fraction form
    7,089.80/9,784.64 = 3,947/x
  3. Step 3: Cross multiply
    7,089.80x = 9,784.64 × 3,947
  4. Step 4: Simplify right side
    7,089.80x = 38,619,974.08
  5. Step 5: Solve for x
    x = 38,619,974.08/7,089.80
  6. Step 6: Final answer
    x = 5,447.26

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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.