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Finding the Fourth Proportional to 2,490.77, 3,735.65 and 930.49

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Solution

The fourth proportional to 2,490.77, 3,735.65 and 930.49 is: 1,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.77 : 3,735.65 = 930.49 : x
  2. Step 2: Convert to fraction form
    2,490.77/3,735.65 = 930.49/x
  3. Step 3: Cross multiply
    2,490.77x = 3,735.65 × 930.49
  4. Step 4: Simplify right side
    2,490.77x = 3,475,977.96
  5. Step 5: Solve for x
    x = 3,475,977.96/2,490.77
  6. Step 6: Final answer
    x = 1,395.54

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1.5x scale

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.