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Finding the Fourth Proportional to 6,778.62, 9,347.92 and 5,285.99

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Solution

The fourth proportional to 6,778.62, 9,347.92 and 5,285.99 is: 7,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.62 : 9,347.92 = 5,285.99 : x
  2. Step 2: Convert to fraction form
    6,778.62/9,347.92 = 5,285.99/x
  3. Step 3: Cross multiply
    6,778.62x = 9,347.92 × 5,285.99
  4. Step 4: Simplify right side
    6,778.62x = 49,413,011.64
  5. Step 5: Solve for x
    x = 49,413,011.64/6,778.62
  6. Step 6: Final answer
    x = 7,289.54

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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.