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Finding the Fourth Proportional to 5,334.78, 7,361.94 and 2,977.50

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Solution

The fourth proportional to 5,334.78, 7,361.94 and 2,977.50 is: 4,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.78 : 7,361.94 = 2,977.50 : x
  2. Step 2: Convert to fraction form
    5,334.78/7,361.94 = 2,977.50/x
  3. Step 3: Cross multiply
    5,334.78x = 7,361.94 × 2,977.50
  4. Step 4: Simplify right side
    5,334.78x = 21,920,176.35
  5. Step 5: Solve for x
    x = 21,920,176.35/5,334.78
  6. Step 6: Final answer
    x = 4,108.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.