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Finding the Fourth Proportional to 2,172.70, 2,995.80 and 1,524.29

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Solution

The fourth proportional to 2,172.70, 2,995.80 and 1,524.29 is: 2,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.70 : 2,995.80 = 1,524.29 : x
  2. Step 2: Convert to fraction form
    2,172.70/2,995.80 = 1,524.29/x
  3. Step 3: Cross multiply
    2,172.70x = 2,995.80 × 1,524.29
  4. Step 4: Simplify right side
    2,172.70x = 4,566,467.98
  5. Step 5: Solve for x
    x = 4,566,467.98/2,172.70
  6. Step 6: Final answer
    x = 2,101.75

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1.5x scale

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.