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Finding the Fourth Proportional to 7,430, 11,137.58 and 3,720.90

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Solution

The fourth proportional to 7,430, 11,137.58 and 3,720.90 is: 5,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 11,137.58 = 3,720.90 : x
  2. Step 2: Convert to fraction form
    7,430/11,137.58 = 3,720.90/x
  3. Step 3: Cross multiply
    7,430x = 11,137.58 × 3,720.90
  4. Step 4: Simplify right side
    7,430x = 41,441,821.42
  5. Step 5: Solve for x
    x = 41,441,821.42/7,430
  6. Step 6: Final answer
    x = 5,577.63

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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.