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Finding the Fourth Proportional to 1,836.34, 2,752.68 and 740.38

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Solution

The fourth proportional to 1,836.34, 2,752.68 and 740.38 is: 1,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.34 : 2,752.68 = 740.38 : x
  2. Step 2: Convert to fraction form
    1,836.34/2,752.68 = 740.38/x
  3. Step 3: Cross multiply
    1,836.34x = 2,752.68 × 740.38
  4. Step 4: Simplify right side
    1,836.34x = 2,038,029.22
  5. Step 5: Solve for x
    x = 2,038,029.22/1,836.34
  6. Step 6: Final answer
    x = 1,109.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.