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Finding the Fourth Proportional to 2,124, 3,187.68 and 1,392

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Solution

The fourth proportional to 2,124, 3,187.68 and 1,392 is: 2,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124 : 3,187.68 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,124/3,187.68 = 1,392/x
  3. Step 3: Cross multiply
    2,124x = 3,187.68 × 1,392
  4. Step 4: Simplify right side
    2,124x = 4,437,250.56
  5. Step 5: Solve for x
    x = 4,437,250.56/2,124
  6. Step 6: Final answer
    x = 2,089.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.