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Finding the Fourth Proportional to 9,777.36, 13,494.96 and 8,202.72

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Solution

The fourth proportional to 9,777.36, 13,494.96 and 8,202.72 is: 11,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.36 : 13,494.96 = 8,202.72 : x
  2. Step 2: Convert to fraction form
    9,777.36/13,494.96 = 8,202.72/x
  3. Step 3: Cross multiply
    9,777.36x = 13,494.96 × 8,202.72
  4. Step 4: Simplify right side
    9,777.36x = 110,695,378.29
  5. Step 5: Solve for x
    x = 110,695,378.29/9,777.36
  6. Step 6: Final answer
    x = 11,321.60

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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.