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Finding the Fourth Proportional to 3,294.92, 4,941.14 and 1,420.64

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Solution

The fourth proportional to 3,294.92, 4,941.14 and 1,420.64 is: 2,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.92 : 4,941.14 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    3,294.92/4,941.14 = 1,420.64/x
  3. Step 3: Cross multiply
    3,294.92x = 4,941.14 × 1,420.64
  4. Step 4: Simplify right side
    3,294.92x = 7,019,549.32
  5. Step 5: Solve for x
    x = 7,019,549.32/3,294.92
  6. Step 6: Final answer
    x = 2,130.42

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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.