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Finding the Fourth Proportional to 2,170.77, 2,995.68 and 1,672.50

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Solution

The fourth proportional to 2,170.77, 2,995.68 and 1,672.50 is: 2,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.77 : 2,995.68 = 1,672.50 : x
  2. Step 2: Convert to fraction form
    2,170.77/2,995.68 = 1,672.50/x
  3. Step 3: Cross multiply
    2,170.77x = 2,995.68 × 1,672.50
  4. Step 4: Simplify right side
    2,170.77x = 5,010,274.80
  5. Step 5: Solve for x
    x = 5,010,274.80/2,170.77
  6. Step 6: Final answer
    x = 2,308.06

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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.