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Finding the Fourth Proportional to 2,223.81, 3,068.84 and 1,437.84

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Solution

The fourth proportional to 2,223.81, 3,068.84 and 1,437.84 is: 1,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.81 : 3,068.84 = 1,437.84 : x
  2. Step 2: Convert to fraction form
    2,223.81/3,068.84 = 1,437.84/x
  3. Step 3: Cross multiply
    2,223.81x = 3,068.84 × 1,437.84
  4. Step 4: Simplify right side
    2,223.81x = 4,412,493.72
  5. Step 5: Solve for x
    x = 4,412,493.72/2,223.81
  6. Step 6: Final answer
    x = 1,984.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.