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Finding the Fourth Proportional to 2,110.64, 3,163.80 and 1,015.20

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Solution

The fourth proportional to 2,110.64, 3,163.80 and 1,015.20 is: 1,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.64 : 3,163.80 = 1,015.20 : x
  2. Step 2: Convert to fraction form
    2,110.64/3,163.80 = 1,015.20/x
  3. Step 3: Cross multiply
    2,110.64x = 3,163.80 × 1,015.20
  4. Step 4: Simplify right side
    2,110.64x = 3,211,889.76
  5. Step 5: Solve for x
    x = 3,211,889.76/2,110.64
  6. Step 6: Final answer
    x = 1,521.76

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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.