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Finding the Fourth Proportional to 8,151.89, 11,206.29 and 7,013.37

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Solution

The fourth proportional to 8,151.89, 11,206.29 and 7,013.37 is: 9,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.89 : 11,206.29 = 7,013.37 : x
  2. Step 2: Convert to fraction form
    8,151.89/11,206.29 = 7,013.37/x
  3. Step 3: Cross multiply
    8,151.89x = 11,206.29 × 7,013.37
  4. Step 4: Simplify right side
    8,151.89x = 78,593,858.10
  5. Step 5: Solve for x
    x = 78,593,858.10/8,151.89
  6. Step 6: Final answer
    x = 9,641.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.