Home / 2,297.18-3,161.88-1,920

Finding the Fourth Proportional to 2,297.18, 3,161.88 and 1,920

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Solution

The fourth proportional to 2,297.18, 3,161.88 and 1,920 is: 2,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.18 : 3,161.88 = 1,920 : x
  2. Step 2: Convert to fraction form
    2,297.18/3,161.88 = 1,920/x
  3. Step 3: Cross multiply
    2,297.18x = 3,161.88 × 1,920
  4. Step 4: Simplify right side
    2,297.18x = 6,070,809.60
  5. Step 5: Solve for x
    x = 6,070,809.60/2,297.18
  6. Step 6: Final answer
    x = 2,642.72

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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.