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Finding the Fourth Proportional to 5,627.22, 7,762.95 and 3,638.41

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Solution

The fourth proportional to 5,627.22, 7,762.95 and 3,638.41 is: 5,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.22 : 7,762.95 = 3,638.41 : x
  2. Step 2: Convert to fraction form
    5,627.22/7,762.95 = 3,638.41/x
  3. Step 3: Cross multiply
    5,627.22x = 7,762.95 × 3,638.41
  4. Step 4: Simplify right side
    5,627.22x = 28,244,775.50
  5. Step 5: Solve for x
    x = 28,244,775.50/5,627.22
  6. Step 6: Final answer
    x = 5,019.32

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1.5x scale

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.