Home / 2,152.30-3,228.46-919.40

Finding the Fourth Proportional to 2,152.30, 3,228.46 and 919.40

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Solution

The fourth proportional to 2,152.30, 3,228.46 and 919.40 is: 1,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.30 : 3,228.46 = 919.40 : x
  2. Step 2: Convert to fraction form
    2,152.30/3,228.46 = 919.40/x
  3. Step 3: Cross multiply
    2,152.30x = 3,228.46 × 919.40
  4. Step 4: Simplify right side
    2,152.30x = 2,968,246.12
  5. Step 5: Solve for x
    x = 2,968,246.12/2,152.30
  6. Step 6: Final answer
    x = 1,379.10

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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.