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Finding the Fourth Proportional to 2,126.66, 3,190.00 and 665.93

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Solution

The fourth proportional to 2,126.66, 3,190.00 and 665.93 is: 998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.66 : 3,190.00 = 665.93 : x
  2. Step 2: Convert to fraction form
    2,126.66/3,190.00 = 665.93/x
  3. Step 3: Cross multiply
    2,126.66x = 3,190.00 × 665.93
  4. Step 4: Simplify right side
    2,126.66x = 2,124,312.48
  5. Step 5: Solve for x
    x = 2,124,312.48/2,126.66
  6. Step 6: Final answer
    x = 998.89

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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.