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Finding the Fourth Proportional to 7,245.90, 10,869.03 and 2,051.82

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Solution

The fourth proportional to 7,245.90, 10,869.03 and 2,051.82 is: 3,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.90 : 10,869.03 = 2,051.82 : x
  2. Step 2: Convert to fraction form
    7,245.90/10,869.03 = 2,051.82/x
  3. Step 3: Cross multiply
    7,245.90x = 10,869.03 × 2,051.82
  4. Step 4: Simplify right side
    7,245.90x = 22,301,293.13
  5. Step 5: Solve for x
    x = 22,301,293.13/7,245.90
  6. Step 6: Final answer
    x = 3,077.78

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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.