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Finding the Fourth Proportional to 2,138.89, 3,210.15 and 841.27

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Solution

The fourth proportional to 2,138.89, 3,210.15 and 841.27 is: 1,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.89 : 3,210.15 = 841.27 : x
  2. Step 2: Convert to fraction form
    2,138.89/3,210.15 = 841.27/x
  3. Step 3: Cross multiply
    2,138.89x = 3,210.15 × 841.27
  4. Step 4: Simplify right side
    2,138.89x = 2,700,602.89
  5. Step 5: Solve for x
    x = 2,700,602.89/2,138.89
  6. Step 6: Final answer
    x = 1,262.62

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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.