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Finding the Fourth Proportional to 6,855.89, 9,454.05 and 5,864.45

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Solution

The fourth proportional to 6,855.89, 9,454.05 and 5,864.45 is: 8,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.89 : 9,454.05 = 5,864.45 : x
  2. Step 2: Convert to fraction form
    6,855.89/9,454.05 = 5,864.45/x
  3. Step 3: Cross multiply
    6,855.89x = 9,454.05 × 5,864.45
  4. Step 4: Simplify right side
    6,855.89x = 55,442,756.25
  5. Step 5: Solve for x
    x = 55,442,756.25/6,855.89
  6. Step 6: Final answer
    x = 8,086.89

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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.