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Finding the Fourth Proportional to 6,611, 9,916.50 and 2,507

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Solution

The fourth proportional to 6,611, 9,916.50 and 2,507 is: 3,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611 : 9,916.50 = 2,507 : x
  2. Step 2: Convert to fraction form
    6,611/9,916.50 = 2,507/x
  3. Step 3: Cross multiply
    6,611x = 9,916.50 × 2,507
  4. Step 4: Simplify right side
    6,611x = 24,860,665.50
  5. Step 5: Solve for x
    x = 24,860,665.50/6,611
  6. Step 6: Final answer
    x = 3,760.50

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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.