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Finding the Fourth Proportional to 1,836.82, 2,753.43 and 740.50

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Solution

The fourth proportional to 1,836.82, 2,753.43 and 740.50 is: 1,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.82 : 2,753.43 = 740.50 : x
  2. Step 2: Convert to fraction form
    1,836.82/2,753.43 = 740.50/x
  3. Step 3: Cross multiply
    1,836.82x = 2,753.43 × 740.50
  4. Step 4: Simplify right side
    1,836.82x = 2,038,914.92
  5. Step 5: Solve for x
    x = 2,038,914.92/1,836.82
  6. Step 6: Final answer
    x = 1,110.02

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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.