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Finding the Fourth Proportional to 7,447, 11,173.56 and 3,284.80

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Solution

The fourth proportional to 7,447, 11,173.56 and 3,284.80 is: 4,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447 : 11,173.56 = 3,284.80 : x
  2. Step 2: Convert to fraction form
    7,447/11,173.56 = 3,284.80/x
  3. Step 3: Cross multiply
    7,447x = 11,173.56 × 3,284.80
  4. Step 4: Simplify right side
    7,447x = 36,702,909.89
  5. Step 5: Solve for x
    x = 36,702,909.89/7,447
  6. Step 6: Final answer
    x = 4,928.55

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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.