Home / 2,272.40-3,410.76-1,784.24

Finding the Fourth Proportional to 2,272.40, 3,410.76 and 1,784.24

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Solution

The fourth proportional to 2,272.40, 3,410.76 and 1,784.24 is: 2,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.40 : 3,410.76 = 1,784.24 : x
  2. Step 2: Convert to fraction form
    2,272.40/3,410.76 = 1,784.24/x
  3. Step 3: Cross multiply
    2,272.40x = 3,410.76 × 1,784.24
  4. Step 4: Simplify right side
    2,272.40x = 6,085,614.42
  5. Step 5: Solve for x
    x = 6,085,614.42/2,272.40
  6. Step 6: Final answer
    x = 2,678.06

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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.