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Finding the Fourth Proportional to 2,230.83, 3,343.59 and 1,681.20

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Solution

The fourth proportional to 2,230.83, 3,343.59 and 1,681.20 is: 2,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.83 : 3,343.59 = 1,681.20 : x
  2. Step 2: Convert to fraction form
    2,230.83/3,343.59 = 1,681.20/x
  3. Step 3: Cross multiply
    2,230.83x = 3,343.59 × 1,681.20
  4. Step 4: Simplify right side
    2,230.83x = 5,621,243.51
  5. Step 5: Solve for x
    x = 5,621,243.51/2,230.83
  6. Step 6: Final answer
    x = 2,519.80

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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.