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Finding the Fourth Proportional to 2,129.78, 3,192.98 and 1,018.62

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Solution

The fourth proportional to 2,129.78, 3,192.98 and 1,018.62 is: 1,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.78 : 3,192.98 = 1,018.62 : x
  2. Step 2: Convert to fraction form
    2,129.78/3,192.98 = 1,018.62/x
  3. Step 3: Cross multiply
    2,129.78x = 3,192.98 × 1,018.62
  4. Step 4: Simplify right side
    2,129.78x = 3,252,428.19
  5. Step 5: Solve for x
    x = 3,252,428.19/2,129.78
  6. Step 6: Final answer
    x = 1,527.12

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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.