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Finding the Fourth Proportional to 1,836.93, 2,756.53 and 741.30

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Solution

The fourth proportional to 1,836.93, 2,756.53 and 741.30 is: 1,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.93 : 2,756.53 = 741.30 : x
  2. Step 2: Convert to fraction form
    1,836.93/2,756.53 = 741.30/x
  3. Step 3: Cross multiply
    1,836.93x = 2,756.53 × 741.30
  4. Step 4: Simplify right side
    1,836.93x = 2,043,421.78
  5. Step 5: Solve for x
    x = 2,043,421.78/1,836.93
  6. Step 6: Final answer
    x = 1,112.41

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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.