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Finding the Fourth Proportional to 7,777.86, 10,747.13 and 6,112.50

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Solution

The fourth proportional to 7,777.86, 10,747.13 and 6,112.50 is: 8,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.86 : 10,747.13 = 6,112.50 : x
  2. Step 2: Convert to fraction form
    7,777.86/10,747.13 = 6,112.50/x
  3. Step 3: Cross multiply
    7,777.86x = 10,747.13 × 6,112.50
  4. Step 4: Simplify right side
    7,777.86x = 65,691,801.56
  5. Step 5: Solve for x
    x = 65,691,801.56/7,777.86
  6. Step 6: Final answer
    x = 8,446.00

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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.