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Finding the Fourth Proportional to 3,728, 5,592.40 and 1,419.50

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Solution

The fourth proportional to 3,728, 5,592.40 and 1,419.50 is: 2,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 5,592.40 = 1,419.50 : x
  2. Step 2: Convert to fraction form
    3,728/5,592.40 = 1,419.50/x
  3. Step 3: Cross multiply
    3,728x = 5,592.40 × 1,419.50
  4. Step 4: Simplify right side
    3,728x = 7,938,411.80
  5. Step 5: Solve for x
    x = 7,938,411.80/3,728
  6. Step 6: Final answer
    x = 2,129.40

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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.