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Finding the Fourth Proportional to 7,778.75, 10,709.68 and 6,923.93

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Solution

The fourth proportional to 7,778.75, 10,709.68 and 6,923.93 is: 9,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.75 : 10,709.68 = 6,923.93 : x
  2. Step 2: Convert to fraction form
    7,778.75/10,709.68 = 6,923.93/x
  3. Step 3: Cross multiply
    7,778.75x = 10,709.68 × 6,923.93
  4. Step 4: Simplify right side
    7,778.75x = 74,153,074.64
  5. Step 5: Solve for x
    x = 74,153,074.64/7,778.75
  6. Step 6: Final answer
    x = 9,532.78

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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.