Home / 2,281.44-3,416-1,455.20

Finding the Fourth Proportional to 2,281.44, 3,416 and 1,455.20

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Solution

The fourth proportional to 2,281.44, 3,416 and 1,455.20 is: 2,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.44 : 3,416 = 1,455.20 : x
  2. Step 2: Convert to fraction form
    2,281.44/3,416 = 1,455.20/x
  3. Step 3: Cross multiply
    2,281.44x = 3,416 × 1,455.20
  4. Step 4: Simplify right side
    2,281.44x = 4,970,963.20
  5. Step 5: Solve for x
    x = 4,970,963.20/2,281.44
  6. Step 6: Final answer
    x = 2,178.87

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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.