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Finding the Fourth Proportional to 2,884.72, 4,323 and 1,422.40

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Solution

The fourth proportional to 2,884.72, 4,323 and 1,422.40 is: 2,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.72 : 4,323 = 1,422.40 : x
  2. Step 2: Convert to fraction form
    2,884.72/4,323 = 1,422.40/x
  3. Step 3: Cross multiply
    2,884.72x = 4,323 × 1,422.40
  4. Step 4: Simplify right side
    2,884.72x = 6,149,035.20
  5. Step 5: Solve for x
    x = 6,149,035.20/2,884.72
  6. Step 6: Final answer
    x = 2,131.59

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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.