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Finding the Fourth Proportional to 2,228.85, 3,343.28 and 930.02

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Solution

The fourth proportional to 2,228.85, 3,343.28 and 930.02 is: 1,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.85 : 3,343.28 = 930.02 : x
  2. Step 2: Convert to fraction form
    2,228.85/3,343.28 = 930.02/x
  3. Step 3: Cross multiply
    2,228.85x = 3,343.28 × 930.02
  4. Step 4: Simplify right side
    2,228.85x = 3,109,295.90
  5. Step 5: Solve for x
    x = 3,109,295.90/2,228.85
  6. Step 6: Final answer
    x = 1,395.02

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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.