Home / 1,881.64-2,815.14-1,102.27

Finding the Fourth Proportional to 1,881.64, 2,815.14 and 1,102.27

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Solution

The fourth proportional to 1,881.64, 2,815.14 and 1,102.27 is: 1,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.64 : 2,815.14 = 1,102.27 : x
  2. Step 2: Convert to fraction form
    1,881.64/2,815.14 = 1,102.27/x
  3. Step 3: Cross multiply
    1,881.64x = 2,815.14 × 1,102.27
  4. Step 4: Simplify right side
    1,881.64x = 3,103,044.37
  5. Step 5: Solve for x
    x = 3,103,044.37/1,881.64
  6. Step 6: Final answer
    x = 1,649.12

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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.