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Finding the Fourth Proportional to 2,073.41, 3,110.42 and 612.62

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Solution

The fourth proportional to 2,073.41, 3,110.42 and 612.62 is: 919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.41 : 3,110.42 = 612.62 : x
  2. Step 2: Convert to fraction form
    2,073.41/3,110.42 = 612.62/x
  3. Step 3: Cross multiply
    2,073.41x = 3,110.42 × 612.62
  4. Step 4: Simplify right side
    2,073.41x = 1,905,491.48
  5. Step 5: Solve for x
    x = 1,905,491.48/2,073.41
  6. Step 6: Final answer
    x = 919.02

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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.