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Finding the Fourth Proportional to 9,074.50, 13,611.76 and 3,602.50

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Solution

The fourth proportional to 9,074.50, 13,611.76 and 3,602.50 is: 5,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.50 : 13,611.76 = 3,602.50 : x
  2. Step 2: Convert to fraction form
    9,074.50/13,611.76 = 3,602.50/x
  3. Step 3: Cross multiply
    9,074.50x = 13,611.76 × 3,602.50
  4. Step 4: Simplify right side
    9,074.50x = 49,036,365.40
  5. Step 5: Solve for x
    x = 49,036,365.40/9,074.50
  6. Step 6: Final answer
    x = 5,403.75

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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.