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Finding the Fourth Proportional to 9,193.50, 13,794.30 and 3,037.50

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Solution

The fourth proportional to 9,193.50, 13,794.30 and 3,037.50 is: 4,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.50 : 13,794.30 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    9,193.50/13,794.30 = 3,037.50/x
  3. Step 3: Cross multiply
    9,193.50x = 13,794.30 × 3,037.50
  4. Step 4: Simplify right side
    9,193.50x = 41,900,186.25
  5. Step 5: Solve for x
    x = 41,900,186.25/9,193.50
  6. Step 6: Final answer
    x = 4,557.59

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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.