Home / 2,288.28-3,432.69-828.12

Finding the Fourth Proportional to 2,288.28, 3,432.69 and 828.12

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Solution

The fourth proportional to 2,288.28, 3,432.69 and 828.12 is: 1,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.28 : 3,432.69 = 828.12 : x
  2. Step 2: Convert to fraction form
    2,288.28/3,432.69 = 828.12/x
  3. Step 3: Cross multiply
    2,288.28x = 3,432.69 × 828.12
  4. Step 4: Simplify right side
    2,288.28x = 2,842,679.24
  5. Step 5: Solve for x
    x = 2,842,679.24/2,288.28
  6. Step 6: Final answer
    x = 1,242.28

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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.