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Finding the Fourth Proportional to 30,800.89, 46,200.93 and 7,427.14

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Solution

The fourth proportional to 30,800.89, 46,200.93 and 7,427.14 is: 11,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.89 : 46,200.93 = 7,427.14 : x
  2. Step 2: Convert to fraction form
    30,800.89/46,200.93 = 7,427.14/x
  3. Step 3: Cross multiply
    30,800.89x = 46,200.93 × 7,427.14
  4. Step 4: Simplify right side
    30,800.89x = 343,140,775.24
  5. Step 5: Solve for x
    x = 343,140,775.24/30,800.89
  6. Step 6: Final answer
    x = 11,140.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.