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Finding the Fourth Proportional to 3,294, 4,941.72 and 1,242

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Solution

The fourth proportional to 3,294, 4,941.72 and 1,242 is: 1,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294 : 4,941.72 = 1,242 : x
  2. Step 2: Convert to fraction form
    3,294/4,941.72 = 1,242/x
  3. Step 3: Cross multiply
    3,294x = 4,941.72 × 1,242
  4. Step 4: Simplify right side
    3,294x = 6,137,616.24
  5. Step 5: Solve for x
    x = 6,137,616.24/3,294
  6. Step 6: Final answer
    x = 1,863.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.