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Finding the Fourth Proportional to 6,187.70, 9,280.12 and 3,689.58

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Solution

The fourth proportional to 6,187.70, 9,280.12 and 3,689.58 is: 5,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.70 : 9,280.12 = 3,689.58 : x
  2. Step 2: Convert to fraction form
    6,187.70/9,280.12 = 3,689.58/x
  3. Step 3: Cross multiply
    6,187.70x = 9,280.12 × 3,689.58
  4. Step 4: Simplify right side
    6,187.70x = 34,239,745.15
  5. Step 5: Solve for x
    x = 34,239,745.15/6,187.70
  6. Step 6: Final answer
    x = 5,533.52

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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.