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Finding the Fourth Proportional to 5,911.38, 8,821.31 and 5,256.90

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Solution

The fourth proportional to 5,911.38, 8,821.31 and 5,256.90 is: 7,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.38 : 8,821.31 = 5,256.90 : x
  2. Step 2: Convert to fraction form
    5,911.38/8,821.31 = 5,256.90/x
  3. Step 3: Cross multiply
    5,911.38x = 8,821.31 × 5,256.90
  4. Step 4: Simplify right side
    5,911.38x = 46,372,718.25
  5. Step 5: Solve for x
    x = 46,372,718.25/5,911.38
  6. Step 6: Final answer
    x = 7,844.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.