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Finding the Fourth Proportional to 3,611.04, 5,415.48 and 1,662

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Solution

The fourth proportional to 3,611.04, 5,415.48 and 1,662 is: 2,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.04 : 5,415.48 = 1,662 : x
  2. Step 2: Convert to fraction form
    3,611.04/5,415.48 = 1,662/x
  3. Step 3: Cross multiply
    3,611.04x = 5,415.48 × 1,662
  4. Step 4: Simplify right side
    3,611.04x = 9,000,527.76
  5. Step 5: Solve for x
    x = 9,000,527.76/3,611.04
  6. Step 6: Final answer
    x = 2,492.50

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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.