Home / 3,102.35-4,647.24-1,537.64

Finding the Fourth Proportional to 3,102.35, 4,647.24 and 1,537.64

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Solution

The fourth proportional to 3,102.35, 4,647.24 and 1,537.64 is: 2,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.35 : 4,647.24 = 1,537.64 : x
  2. Step 2: Convert to fraction form
    3,102.35/4,647.24 = 1,537.64/x
  3. Step 3: Cross multiply
    3,102.35x = 4,647.24 × 1,537.64
  4. Step 4: Simplify right side
    3,102.35x = 7,145,782.11
  5. Step 5: Solve for x
    x = 7,145,782.11/3,102.35
  6. Step 6: Final answer
    x = 2,303.34

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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.