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Finding the Fourth Proportional to 2,073, 3,109.09 and 612.17

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Solution

The fourth proportional to 2,073, 3,109.09 and 612.17 is: 918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 3,109.09 = 612.17 : x
  2. Step 2: Convert to fraction form
    2,073/3,109.09 = 612.17/x
  3. Step 3: Cross multiply
    2,073x = 3,109.09 × 612.17
  4. Step 4: Simplify right side
    2,073x = 1,903,291.63
  5. Step 5: Solve for x
    x = 1,903,291.63/2,073
  6. Step 6: Final answer
    x = 918.13

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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.