Home / 2,102.05-2,900.78-1,157.92

Finding the Fourth Proportional to 2,102.05, 2,900.78 and 1,157.92

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Solution

The fourth proportional to 2,102.05, 2,900.78 and 1,157.92 is: 1,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.05 : 2,900.78 = 1,157.92 : x
  2. Step 2: Convert to fraction form
    2,102.05/2,900.78 = 1,157.92/x
  3. Step 3: Cross multiply
    2,102.05x = 2,900.78 × 1,157.92
  4. Step 4: Simplify right side
    2,102.05x = 3,358,885.31
  5. Step 5: Solve for x
    x = 3,358,885.31/2,102.05
  6. Step 6: Final answer
    x = 1,597.91

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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.