Home / 2,153.40-3,227.76-919.80

Finding the Fourth Proportional to 2,153.40, 3,227.76 and 919.80

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Solution

The fourth proportional to 2,153.40, 3,227.76 and 919.80 is: 1,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.40 : 3,227.76 = 919.80 : x
  2. Step 2: Convert to fraction form
    2,153.40/3,227.76 = 919.80/x
  3. Step 3: Cross multiply
    2,153.40x = 3,227.76 × 919.80
  4. Step 4: Simplify right side
    2,153.40x = 2,968,893.65
  5. Step 5: Solve for x
    x = 2,968,893.65/2,153.40
  6. Step 6: Final answer
    x = 1,378.70

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1.5x scale

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.