Home / 3,122.48-4,682.28-1,478

Finding the Fourth Proportional to 3,122.48, 4,682.28 and 1,478

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Solution

The fourth proportional to 3,122.48, 4,682.28 and 1,478 is: 2,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.48 : 4,682.28 = 1,478 : x
  2. Step 2: Convert to fraction form
    3,122.48/4,682.28 = 1,478/x
  3. Step 3: Cross multiply
    3,122.48x = 4,682.28 × 1,478
  4. Step 4: Simplify right side
    3,122.48x = 6,920,409.84
  5. Step 5: Solve for x
    x = 6,920,409.84/3,122.48
  6. Step 6: Final answer
    x = 2,216.32

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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.