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Finding the Fourth Proportional to 7,762.95, 11,623.66 and 6,771.11

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Solution

The fourth proportional to 7,762.95, 11,623.66 and 6,771.11 is: 10,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.95 : 11,623.66 = 6,771.11 : x
  2. Step 2: Convert to fraction form
    7,762.95/11,623.66 = 6,771.11/x
  3. Step 3: Cross multiply
    7,762.95x = 11,623.66 × 6,771.11
  4. Step 4: Simplify right side
    7,762.95x = 78,705,005.42
  5. Step 5: Solve for x
    x = 78,705,005.42/7,762.95
  6. Step 6: Final answer
    x = 10,138.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.