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Finding the Fourth Proportional to 3,647.32, 5,460.64 and 2,835.09

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Solution

The fourth proportional to 3,647.32, 5,460.64 and 2,835.09 is: 4,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.32 : 5,460.64 = 2,835.09 : x
  2. Step 2: Convert to fraction form
    3,647.32/5,460.64 = 2,835.09/x
  3. Step 3: Cross multiply
    3,647.32x = 5,460.64 × 2,835.09
  4. Step 4: Simplify right side
    3,647.32x = 15,481,405.86
  5. Step 5: Solve for x
    x = 15,481,405.86/3,647.32
  6. Step 6: Final answer
    x = 4,244.60

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1.5x scale

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.