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Finding the Fourth Proportional to 3,607, 5,401.12 and 3,090.32

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Solution

The fourth proportional to 3,607, 5,401.12 and 3,090.32 is: 4,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 5,401.12 = 3,090.32 : x
  2. Step 2: Convert to fraction form
    3,607/5,401.12 = 3,090.32/x
  3. Step 3: Cross multiply
    3,607x = 5,401.12 × 3,090.32
  4. Step 4: Simplify right side
    3,607x = 16,691,189.16
  5. Step 5: Solve for x
    x = 16,691,189.16/3,607
  6. Step 6: Final answer
    x = 4,627.44

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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.