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Finding the Fourth Proportional to 7,130.97, 9,843.73 and 5,257.44

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Solution

The fourth proportional to 7,130.97, 9,843.73 and 5,257.44 is: 7,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.97 : 9,843.73 = 5,257.44 : x
  2. Step 2: Convert to fraction form
    7,130.97/9,843.73 = 5,257.44/x
  3. Step 3: Cross multiply
    7,130.97x = 9,843.73 × 5,257.44
  4. Step 4: Simplify right side
    7,130.97x = 51,752,806.71
  5. Step 5: Solve for x
    x = 51,752,806.71/7,130.97
  6. Step 6: Final answer
    x = 7,257.47

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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.