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Finding the Fourth Proportional to 3,098.45, 4,647.68 and 758.45

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Solution

The fourth proportional to 3,098.45, 4,647.68 and 758.45 is: 1,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.45 : 4,647.68 = 758.45 : x
  2. Step 2: Convert to fraction form
    3,098.45/4,647.68 = 758.45/x
  3. Step 3: Cross multiply
    3,098.45x = 4,647.68 × 758.45
  4. Step 4: Simplify right side
    3,098.45x = 3,525,040.72
  5. Step 5: Solve for x
    x = 3,525,040.72/3,098.45
  6. Step 6: Final answer
    x = 1,137.68

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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.