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Finding the Fourth Proportional to 6,809.18, 9,397.69 and 4,158.12

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Solution

The fourth proportional to 6,809.18, 9,397.69 and 4,158.12 is: 5,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.18 : 9,397.69 = 4,158.12 : x
  2. Step 2: Convert to fraction form
    6,809.18/9,397.69 = 4,158.12/x
  3. Step 3: Cross multiply
    6,809.18x = 9,397.69 × 4,158.12
  4. Step 4: Simplify right side
    6,809.18x = 39,076,709.64
  5. Step 5: Solve for x
    x = 39,076,709.64/6,809.18
  6. Step 6: Final answer
    x = 5,738.83

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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.