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Finding the Fourth Proportional to 2,126.04, 3,189.60 and 665.22

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Solution

The fourth proportional to 2,126.04, 3,189.60 and 665.22 is: 998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.04 : 3,189.60 = 665.22 : x
  2. Step 2: Convert to fraction form
    2,126.04/3,189.60 = 665.22/x
  3. Step 3: Cross multiply
    2,126.04x = 3,189.60 × 665.22
  4. Step 4: Simplify right side
    2,126.04x = 2,121,785.71
  5. Step 5: Solve for x
    x = 2,121,785.71/2,126.04
  6. Step 6: Final answer
    x = 998.00

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