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Finding the Fourth Proportional to 3,395.45, 5,092.64 and 930.45

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Solution

The fourth proportional to 3,395.45, 5,092.64 and 930.45 is: 1,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.45 : 5,092.64 = 930.45 : x
  2. Step 2: Convert to fraction form
    3,395.45/5,092.64 = 930.45/x
  3. Step 3: Cross multiply
    3,395.45x = 5,092.64 × 930.45
  4. Step 4: Simplify right side
    3,395.45x = 4,738,464.82
  5. Step 5: Solve for x
    x = 4,738,464.82/3,395.45
  6. Step 6: Final answer
    x = 1,395.53

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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.