Home / 2,113.16-3,170.36-880.34

Finding the Fourth Proportional to 2,113.16, 3,170.36 and 880.34

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Solution

The fourth proportional to 2,113.16, 3,170.36 and 880.34 is: 1,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.16 : 3,170.36 = 880.34 : x
  2. Step 2: Convert to fraction form
    2,113.16/3,170.36 = 880.34/x
  3. Step 3: Cross multiply
    2,113.16x = 3,170.36 × 880.34
  4. Step 4: Simplify right side
    2,113.16x = 2,790,994.72
  5. Step 5: Solve for x
    x = 2,790,994.72/2,113.16
  6. Step 6: Final answer
    x = 1,320.77

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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.