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Finding the Fourth Proportional to 1,608.78, 2,408.93 and 1,294.74

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Solution

The fourth proportional to 1,608.78, 2,408.93 and 1,294.74 is: 1,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.78 : 2,408.93 = 1,294.74 : x
  2. Step 2: Convert to fraction form
    1,608.78/2,408.93 = 1,294.74/x
  3. Step 3: Cross multiply
    1,608.78x = 2,408.93 × 1,294.74
  4. Step 4: Simplify right side
    1,608.78x = 3,118,931.55
  5. Step 5: Solve for x
    x = 3,118,931.55/1,608.78
  6. Step 6: Final answer
    x = 1,938.69

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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.