Home / 2,106.50-2,906.97-1,175

Finding the Fourth Proportional to 2,106.50, 2,906.97 and 1,175

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Solution

The fourth proportional to 2,106.50, 2,906.97 and 1,175 is: 1,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.50 : 2,906.97 = 1,175 : x
  2. Step 2: Convert to fraction form
    2,106.50/2,906.97 = 1,175/x
  3. Step 3: Cross multiply
    2,106.50x = 2,906.97 × 1,175
  4. Step 4: Simplify right side
    2,106.50x = 3,415,689.75
  5. Step 5: Solve for x
    x = 3,415,689.75/2,106.50
  6. Step 6: Final answer
    x = 1,621.50

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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.