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Finding the Fourth Proportional to 1,873.66, 2,807.23 and 1,216.20

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Solution

The fourth proportional to 1,873.66, 2,807.23 and 1,216.20 is: 1,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.66 : 2,807.23 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    1,873.66/2,807.23 = 1,216.20/x
  3. Step 3: Cross multiply
    1,873.66x = 2,807.23 × 1,216.20
  4. Step 4: Simplify right side
    1,873.66x = 3,414,136.05
  5. Step 5: Solve for x
    x = 3,414,136.05/1,873.66
  6. Step 6: Final answer
    x = 1,822.17

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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.