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Finding the Fourth Proportional to 2,187.92, 3,018 and 1,401.68

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Solution

The fourth proportional to 2,187.92, 3,018 and 1,401.68 is: 1,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.92 : 3,018 = 1,401.68 : x
  2. Step 2: Convert to fraction form
    2,187.92/3,018 = 1,401.68/x
  3. Step 3: Cross multiply
    2,187.92x = 3,018 × 1,401.68
  4. Step 4: Simplify right side
    2,187.92x = 4,230,270.24
  5. Step 5: Solve for x
    x = 4,230,270.24/2,187.92
  6. Step 6: Final answer
    x = 1,933.47

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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.