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Finding the Fourth Proportional to 7,611.42, 11,408.94 and 4,977.93

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Solution

The fourth proportional to 7,611.42, 11,408.94 and 4,977.93 is: 7,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.42 : 11,408.94 = 4,977.93 : x
  2. Step 2: Convert to fraction form
    7,611.42/11,408.94 = 4,977.93/x
  3. Step 3: Cross multiply
    7,611.42x = 11,408.94 × 4,977.93
  4. Step 4: Simplify right side
    7,611.42x = 56,792,904.69
  5. Step 5: Solve for x
    x = 56,792,904.69/7,611.42
  6. Step 6: Final answer
    x = 7,461.54

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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.