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Finding the Fourth Proportional to 5,285.16, 7,933.50 and 3,894.21

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Solution

The fourth proportional to 5,285.16, 7,933.50 and 3,894.21 is: 5,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.16 : 7,933.50 = 3,894.21 : x
  2. Step 2: Convert to fraction form
    5,285.16/7,933.50 = 3,894.21/x
  3. Step 3: Cross multiply
    5,285.16x = 7,933.50 × 3,894.21
  4. Step 4: Simplify right side
    5,285.16x = 30,894,715.04
  5. Step 5: Solve for x
    x = 30,894,715.04/5,285.16
  6. Step 6: Final answer
    x = 5,845.56

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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.