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Finding the Fourth Proportional to 2,817.79, 4,223.14 and 1,431.47

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Solution

The fourth proportional to 2,817.79, 4,223.14 and 1,431.47 is: 2,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.79 : 4,223.14 = 1,431.47 : x
  2. Step 2: Convert to fraction form
    2,817.79/4,223.14 = 1,431.47/x
  3. Step 3: Cross multiply
    2,817.79x = 4,223.14 × 1,431.47
  4. Step 4: Simplify right side
    2,817.79x = 6,045,305.19
  5. Step 5: Solve for x
    x = 6,045,305.19/2,817.79
  6. Step 6: Final answer
    x = 2,145.41

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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.