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Finding the Fourth Proportional to 2,072.86, 3,108.99 and 612.13

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Solution

The fourth proportional to 2,072.86, 3,108.99 and 612.13 is: 918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.86 : 3,108.99 = 612.13 : x
  2. Step 2: Convert to fraction form
    2,072.86/3,108.99 = 612.13/x
  3. Step 3: Cross multiply
    2,072.86x = 3,108.99 × 612.13
  4. Step 4: Simplify right side
    2,072.86x = 1,903,106.05
  5. Step 5: Solve for x
    x = 1,903,106.05/2,072.86
  6. Step 6: Final answer
    x = 918.11

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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.