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Finding the Fourth Proportional to 2,490.93, 3,735.36 and 930.69

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Solution

The fourth proportional to 2,490.93, 3,735.36 and 930.69 is: 1,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.93 : 3,735.36 = 930.69 : x
  2. Step 2: Convert to fraction form
    2,490.93/3,735.36 = 930.69/x
  3. Step 3: Cross multiply
    2,490.93x = 3,735.36 × 930.69
  4. Step 4: Simplify right side
    2,490.93x = 3,476,462.20
  5. Step 5: Solve for x
    x = 3,476,462.20/2,490.93
  6. Step 6: Final answer
    x = 1,395.65

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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.