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Finding the Fourth Proportional to 2,039.12, 3,057.74 and 652.18

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Solution

The fourth proportional to 2,039.12, 3,057.74 and 652.18 is: 977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.12 : 3,057.74 = 652.18 : x
  2. Step 2: Convert to fraction form
    2,039.12/3,057.74 = 652.18/x
  3. Step 3: Cross multiply
    2,039.12x = 3,057.74 × 652.18
  4. Step 4: Simplify right side
    2,039.12x = 1,994,196.87
  5. Step 5: Solve for x
    x = 1,994,196.87/2,039.12
  6. Step 6: Final answer
    x = 977.97

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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.