Home / 1,919.21-2,877.19-824.36

Finding the Fourth Proportional to 1,919.21, 2,877.19 and 824.36

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Solution

The fourth proportional to 1,919.21, 2,877.19 and 824.36 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.21 : 2,877.19 = 824.36 : x
  2. Step 2: Convert to fraction form
    1,919.21/2,877.19 = 824.36/x
  3. Step 3: Cross multiply
    1,919.21x = 2,877.19 × 824.36
  4. Step 4: Simplify right side
    1,919.21x = 2,371,823.90
  5. Step 5: Solve for x
    x = 2,371,823.90/1,919.21
  6. Step 6: Final answer
    x = 1,235.84

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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.