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Finding the Fourth Proportional to 9,997.12, 13,796 and 5,521.20

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Solution

The fourth proportional to 9,997.12, 13,796 and 5,521.20 is: 7,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.12 : 13,796 = 5,521.20 : x
  2. Step 2: Convert to fraction form
    9,997.12/13,796 = 5,521.20/x
  3. Step 3: Cross multiply
    9,997.12x = 13,796 × 5,521.20
  4. Step 4: Simplify right side
    9,997.12x = 76,170,475.20
  5. Step 5: Solve for x
    x = 76,170,475.20/9,997.12
  6. Step 6: Final answer
    x = 7,619.24

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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.