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Finding the Fourth Proportional to 8,261.64, 11,394 and 5,879.16

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Solution

The fourth proportional to 8,261.64, 11,394 and 5,879.16 is: 8,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.64 : 11,394 = 5,879.16 : x
  2. Step 2: Convert to fraction form
    8,261.64/11,394 = 5,879.16/x
  3. Step 3: Cross multiply
    8,261.64x = 11,394 × 5,879.16
  4. Step 4: Simplify right side
    8,261.64x = 66,987,149.04
  5. Step 5: Solve for x
    x = 66,987,149.04/8,261.64
  6. Step 6: Final answer
    x = 8,108.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.