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Finding the Fourth Proportional to 7,138.17, 10,712.13 and 2,521.17

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Solution

The fourth proportional to 7,138.17, 10,712.13 and 2,521.17 is: 3,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.17 : 10,712.13 = 2,521.17 : x
  2. Step 2: Convert to fraction form
    7,138.17/10,712.13 = 2,521.17/x
  3. Step 3: Cross multiply
    7,138.17x = 10,712.13 × 2,521.17
  4. Step 4: Simplify right side
    7,138.17x = 27,007,100.79
  5. Step 5: Solve for x
    x = 27,007,100.79/7,138.17
  6. Step 6: Final answer
    x = 3,783.48

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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.