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Finding the Fourth Proportional to 5,734.78, 7,915.26 and 3,638.50

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Solution

The fourth proportional to 5,734.78, 7,915.26 and 3,638.50 is: 5,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.78 : 7,915.26 = 3,638.50 : x
  2. Step 2: Convert to fraction form
    5,734.78/7,915.26 = 3,638.50/x
  3. Step 3: Cross multiply
    5,734.78x = 7,915.26 × 3,638.50
  4. Step 4: Simplify right side
    5,734.78x = 28,799,673.51
  5. Step 5: Solve for x
    x = 28,799,673.51/5,734.78
  6. Step 6: Final answer
    x = 5,021.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.