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Finding the Fourth Proportional to 5,735.78, 7,916.64 and 3,639.50

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Solution

The fourth proportional to 5,735.78, 7,916.64 and 3,639.50 is: 5,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.78 : 7,916.64 = 3,639.50 : x
  2. Step 2: Convert to fraction form
    5,735.78/7,916.64 = 3,639.50/x
  3. Step 3: Cross multiply
    5,735.78x = 7,916.64 × 3,639.50
  4. Step 4: Simplify right side
    5,735.78x = 28,812,611.28
  5. Step 5: Solve for x
    x = 28,812,611.28/5,735.78
  6. Step 6: Final answer
    x = 5,023.31

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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.