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Finding the Fourth Proportional to 7,615.94, 11,392.31 and 7,149.38

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Solution

The fourth proportional to 7,615.94, 11,392.31 and 7,149.38 is: 10,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.94 : 11,392.31 = 7,149.38 : x
  2. Step 2: Convert to fraction form
    7,615.94/11,392.31 = 7,149.38/x
  3. Step 3: Cross multiply
    7,615.94x = 11,392.31 × 7,149.38
  4. Step 4: Simplify right side
    7,615.94x = 81,447,914.18
  5. Step 5: Solve for x
    x = 81,447,914.18/7,615.94
  6. Step 6: Final answer
    x = 10,694.41

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1.5x scale

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.