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Finding the Fourth Proportional to 2,126.99, 3,190.49 and 666.26

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Solution

The fourth proportional to 2,126.99, 3,190.49 and 666.26 is: 999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.99 : 3,190.49 = 666.26 : x
  2. Step 2: Convert to fraction form
    2,126.99/3,190.49 = 666.26/x
  3. Step 3: Cross multiply
    2,126.99x = 3,190.49 × 666.26
  4. Step 4: Simplify right side
    2,126.99x = 2,125,689.80
  5. Step 5: Solve for x
    x = 2,125,689.80/2,126.99
  6. Step 6: Final answer
    x = 999.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.