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Finding the Fourth Proportional to 3,289.84, 4,539.72 and 1,892.68

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Solution

The fourth proportional to 3,289.84, 4,539.72 and 1,892.68 is: 2,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.84 : 4,539.72 = 1,892.68 : x
  2. Step 2: Convert to fraction form
    3,289.84/4,539.72 = 1,892.68/x
  3. Step 3: Cross multiply
    3,289.84x = 4,539.72 × 1,892.68
  4. Step 4: Simplify right side
    3,289.84x = 8,592,237.25
  5. Step 5: Solve for x
    x = 8,592,237.25/3,289.84
  6. Step 6: Final answer
    x = 2,611.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.