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Finding the Fourth Proportional to 2,349.74, 3,242.64 and 1,287.57

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Solution

The fourth proportional to 2,349.74, 3,242.64 and 1,287.57 is: 1,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.74 : 3,242.64 = 1,287.57 : x
  2. Step 2: Convert to fraction form
    2,349.74/3,242.64 = 1,287.57/x
  3. Step 3: Cross multiply
    2,349.74x = 3,242.64 × 1,287.57
  4. Step 4: Simplify right side
    2,349.74x = 4,175,122.99
  5. Step 5: Solve for x
    x = 4,175,122.99/2,349.74
  6. Step 6: Final answer
    x = 1,776.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.