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Finding the Fourth Proportional to 7,138.31, 10,712.31 and 2,521.31

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Solution

The fourth proportional to 7,138.31, 10,712.31 and 2,521.31 is: 3,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.31 : 10,712.31 = 2,521.31 : x
  2. Step 2: Convert to fraction form
    7,138.31/10,712.31 = 2,521.31/x
  3. Step 3: Cross multiply
    7,138.31x = 10,712.31 × 2,521.31
  4. Step 4: Simplify right side
    7,138.31x = 27,009,054.33
  5. Step 5: Solve for x
    x = 27,009,054.33/7,138.31
  6. Step 6: Final answer
    x = 3,783.68

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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.