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Finding the Fourth Proportional to 3,653.78, 5,492.55 and 2,931.26

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Solution

The fourth proportional to 3,653.78, 5,492.55 and 2,931.26 is: 4,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.78 : 5,492.55 = 2,931.26 : x
  2. Step 2: Convert to fraction form
    3,653.78/5,492.55 = 2,931.26/x
  3. Step 3: Cross multiply
    3,653.78x = 5,492.55 × 2,931.26
  4. Step 4: Simplify right side
    3,653.78x = 16,100,092.11
  5. Step 5: Solve for x
    x = 16,100,092.11/3,653.78
  6. Step 6: Final answer
    x = 4,406.42

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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.