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Finding the Fourth Proportional to 7,297.23, 10,110.85 and 7,139.58

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Solution

The fourth proportional to 7,297.23, 10,110.85 and 7,139.58 is: 9,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.23 : 10,110.85 = 7,139.58 : x
  2. Step 2: Convert to fraction form
    7,297.23/10,110.85 = 7,139.58/x
  3. Step 3: Cross multiply
    7,297.23x = 10,110.85 × 7,139.58
  4. Step 4: Simplify right side
    7,297.23x = 72,187,222.44
  5. Step 5: Solve for x
    x = 72,187,222.44/7,297.23
  6. Step 6: Final answer
    x = 9,892.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.