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Finding the Fourth Proportional to 2,140.19, 3,203.59 and 1,622.19

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Solution

The fourth proportional to 2,140.19, 3,203.59 and 1,622.19 is: 2,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.19 : 3,203.59 = 1,622.19 : x
  2. Step 2: Convert to fraction form
    2,140.19/3,203.59 = 1,622.19/x
  3. Step 3: Cross multiply
    2,140.19x = 3,203.59 × 1,622.19
  4. Step 4: Simplify right side
    2,140.19x = 5,196,831.66
  5. Step 5: Solve for x
    x = 5,196,831.66/2,140.19
  6. Step 6: Final answer
    x = 2,428.21

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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.