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Finding the Fourth Proportional to 5,362.76, 7,400.48 and 3,005.39

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Solution

The fourth proportional to 5,362.76, 7,400.48 and 3,005.39 is: 4,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.76 : 7,400.48 = 3,005.39 : x
  2. Step 2: Convert to fraction form
    5,362.76/7,400.48 = 3,005.39/x
  3. Step 3: Cross multiply
    5,362.76x = 7,400.48 × 3,005.39
  4. Step 4: Simplify right side
    5,362.76x = 22,241,276.56
  5. Step 5: Solve for x
    x = 22,241,276.56/5,362.76
  6. Step 6: Final answer
    x = 4,147.36

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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.