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Finding the Fourth Proportional to 2,491.78, 3,733.35 and 1,840.90

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Solution

The fourth proportional to 2,491.78, 3,733.35 and 1,840.90 is: 2,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.78 : 3,733.35 = 1,840.90 : x
  2. Step 2: Convert to fraction form
    2,491.78/3,733.35 = 1,840.90/x
  3. Step 3: Cross multiply
    2,491.78x = 3,733.35 × 1,840.90
  4. Step 4: Simplify right side
    2,491.78x = 6,872,724.02
  5. Step 5: Solve for x
    x = 6,872,724.02/2,491.78
  6. Step 6: Final answer
    x = 2,758.16

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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.