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Finding the Fourth Proportional to 3,607.68, 5,408.54 and 1,529.32

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Solution

The fourth proportional to 3,607.68, 5,408.54 and 1,529.32 is: 2,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.68 : 5,408.54 = 1,529.32 : x
  2. Step 2: Convert to fraction form
    3,607.68/5,408.54 = 1,529.32/x
  3. Step 3: Cross multiply
    3,607.68x = 5,408.54 × 1,529.32
  4. Step 4: Simplify right side
    3,607.68x = 8,271,388.39
  5. Step 5: Solve for x
    x = 8,271,388.39/3,607.68
  6. Step 6: Final answer
    x = 2,292.72

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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.