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Finding the Fourth Proportional to 8,318.16, 11,480.94 and 5,666.63

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Solution

The fourth proportional to 8,318.16, 11,480.94 and 5,666.63 is: 7,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.16 : 11,480.94 = 5,666.63 : x
  2. Step 2: Convert to fraction form
    8,318.16/11,480.94 = 5,666.63/x
  3. Step 3: Cross multiply
    8,318.16x = 11,480.94 × 5,666.63
  4. Step 4: Simplify right side
    8,318.16x = 65,058,181.63
  5. Step 5: Solve for x
    x = 65,058,181.63/8,318.16
  6. Step 6: Final answer
    x = 7,821.22

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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.