Home / 2,102.24-2,900.97-1,157.85

Finding the Fourth Proportional to 2,102.24, 2,900.97 and 1,157.85

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Solution

The fourth proportional to 2,102.24, 2,900.97 and 1,157.85 is: 1,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.24 : 2,900.97 = 1,157.85 : x
  2. Step 2: Convert to fraction form
    2,102.24/2,900.97 = 1,157.85/x
  3. Step 3: Cross multiply
    2,102.24x = 2,900.97 × 1,157.85
  4. Step 4: Simplify right side
    2,102.24x = 3,358,881.58
  5. Step 5: Solve for x
    x = 3,358,881.58/2,102.24
  6. Step 6: Final answer
    x = 1,597.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.