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Finding the Fourth Proportional to 8,530.87, 11,768.43 and 7,349.89

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Solution

The fourth proportional to 8,530.87, 11,768.43 and 7,349.89 is: 10,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.87 : 11,768.43 = 7,349.89 : x
  2. Step 2: Convert to fraction form
    8,530.87/11,768.43 = 7,349.89/x
  3. Step 3: Cross multiply
    8,530.87x = 11,768.43 × 7,349.89
  4. Step 4: Simplify right side
    8,530.87x = 86,496,665.97
  5. Step 5: Solve for x
    x = 86,496,665.97/8,530.87
  6. Step 6: Final answer
    x = 10,139.25

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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.