Home / 2,102.09-2,900.88-1,157.90

Finding the Fourth Proportional to 2,102.09, 2,900.88 and 1,157.90

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Solution

The fourth proportional to 2,102.09, 2,900.88 and 1,157.90 is: 1,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.09 : 2,900.88 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    2,102.09/2,900.88 = 1,157.90/x
  3. Step 3: Cross multiply
    2,102.09x = 2,900.88 × 1,157.90
  4. Step 4: Simplify right side
    2,102.09x = 3,358,914.45
  5. Step 5: Solve for x
    x = 3,358,914.45/2,102.09
  6. Step 6: Final answer
    x = 1,597.90

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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.