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Finding the Fourth Proportional to 5,224.92, 7,838.73 and 1,938.95

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Solution

The fourth proportional to 5,224.92, 7,838.73 and 1,938.95 is: 2,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.92 : 7,838.73 = 1,938.95 : x
  2. Step 2: Convert to fraction form
    5,224.92/7,838.73 = 1,938.95/x
  3. Step 3: Cross multiply
    5,224.92x = 7,838.73 × 1,938.95
  4. Step 4: Simplify right side
    5,224.92x = 15,198,905.53
  5. Step 5: Solve for x
    x = 15,198,905.53/5,224.92
  6. Step 6: Final answer
    x = 2,908.93

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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.