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Finding the Fourth Proportional to 9,777.72, 13,470.44 and 7,998.96

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Solution

The fourth proportional to 9,777.72, 13,470.44 and 7,998.96 is: 11,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.72 : 13,470.44 = 7,998.96 : x
  2. Step 2: Convert to fraction form
    9,777.72/13,470.44 = 7,998.96/x
  3. Step 3: Cross multiply
    9,777.72x = 13,470.44 × 7,998.96
  4. Step 4: Simplify right side
    9,777.72x = 107,749,510.74
  5. Step 5: Solve for x
    x = 107,749,510.74/9,777.72
  6. Step 6: Final answer
    x = 11,019.90

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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.