Home / 2,288.96-3,416.86-2,117.76

Finding the Fourth Proportional to 2,288.96, 3,416.86 and 2,117.76

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Solution

The fourth proportional to 2,288.96, 3,416.86 and 2,117.76 is: 3,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.96 : 3,416.86 = 2,117.76 : x
  2. Step 2: Convert to fraction form
    2,288.96/3,416.86 = 2,117.76/x
  3. Step 3: Cross multiply
    2,288.96x = 3,416.86 × 2,117.76
  4. Step 4: Simplify right side
    2,288.96x = 7,236,089.43
  5. Step 5: Solve for x
    x = 7,236,089.43/2,288.96
  6. Step 6: Final answer
    x = 3,161.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.