Home / 5,151.24-7,109.40-3,828.78

Finding the Fourth Proportional to 5,151.24, 7,109.40 and 3,828.78

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Solution

The fourth proportional to 5,151.24, 7,109.40 and 3,828.78 is: 5,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.24 : 7,109.40 = 3,828.78 : x
  2. Step 2: Convert to fraction form
    5,151.24/7,109.40 = 3,828.78/x
  3. Step 3: Cross multiply
    5,151.24x = 7,109.40 × 3,828.78
  4. Step 4: Simplify right side
    5,151.24x = 27,220,328.53
  5. Step 5: Solve for x
    x = 27,220,328.53/5,151.24
  6. Step 6: Final answer
    x = 5,284.23

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1.5x scale

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.