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Finding the Fourth Proportional to 5,611, 8,420.10 and 2,533

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Solution

The fourth proportional to 5,611, 8,420.10 and 2,533 is: 3,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611 : 8,420.10 = 2,533 : x
  2. Step 2: Convert to fraction form
    5,611/8,420.10 = 2,533/x
  3. Step 3: Cross multiply
    5,611x = 8,420.10 × 2,533
  4. Step 4: Simplify right side
    5,611x = 21,328,113.30
  5. Step 5: Solve for x
    x = 21,328,113.30/5,611
  6. Step 6: Final answer
    x = 3,801.13

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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.