Home / 2,278.12-3,416.40-816.88

Finding the Fourth Proportional to 2,278.12, 3,416.40 and 816.88

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Solution

The fourth proportional to 2,278.12, 3,416.40 and 816.88 is: 1,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.12 : 3,416.40 = 816.88 : x
  2. Step 2: Convert to fraction form
    2,278.12/3,416.40 = 816.88/x
  3. Step 3: Cross multiply
    2,278.12x = 3,416.40 × 816.88
  4. Step 4: Simplify right side
    2,278.12x = 2,790,788.83
  5. Step 5: Solve for x
    x = 2,790,788.83/2,278.12
  6. Step 6: Final answer
    x = 1,225.04

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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.