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Finding the Fourth Proportional to 7,255.66, 10,013.02 and 5,135

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Solution

The fourth proportional to 7,255.66, 10,013.02 and 5,135 is: 7,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.66 : 10,013.02 = 5,135 : x
  2. Step 2: Convert to fraction form
    7,255.66/10,013.02 = 5,135/x
  3. Step 3: Cross multiply
    7,255.66x = 10,013.02 × 5,135
  4. Step 4: Simplify right side
    7,255.66x = 51,416,857.70
  5. Step 5: Solve for x
    x = 51,416,857.70/7,255.66
  6. Step 6: Final answer
    x = 7,086.45

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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.