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Finding the Fourth Proportional to 5,402.72, 8,103.96 and 1,454

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Solution

The fourth proportional to 5,402.72, 8,103.96 and 1,454 is: 2,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.72 : 8,103.96 = 1,454 : x
  2. Step 2: Convert to fraction form
    5,402.72/8,103.96 = 1,454/x
  3. Step 3: Cross multiply
    5,402.72x = 8,103.96 × 1,454
  4. Step 4: Simplify right side
    5,402.72x = 11,783,157.84
  5. Step 5: Solve for x
    x = 11,783,157.84/5,402.72
  6. Step 6: Final answer
    x = 2,180.97

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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.