Home / 2,102.50-2,901.45-1,171

Finding the Fourth Proportional to 2,102.50, 2,901.45 and 1,171

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Solution

The fourth proportional to 2,102.50, 2,901.45 and 1,171 is: 1,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.50 : 2,901.45 = 1,171 : x
  2. Step 2: Convert to fraction form
    2,102.50/2,901.45 = 1,171/x
  3. Step 3: Cross multiply
    2,102.50x = 2,901.45 × 1,171
  4. Step 4: Simplify right side
    2,102.50x = 3,397,597.95
  5. Step 5: Solve for x
    x = 3,397,597.95/2,102.50
  6. Step 6: Final answer
    x = 1,615.98

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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.