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Finding the Fourth Proportional to 6,448.91, 9,675.20 and 3,162.95

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Solution

The fourth proportional to 6,448.91, 9,675.20 and 3,162.95 is: 4,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.91 : 9,675.20 = 3,162.95 : x
  2. Step 2: Convert to fraction form
    6,448.91/9,675.20 = 3,162.95/x
  3. Step 3: Cross multiply
    6,448.91x = 9,675.20 × 3,162.95
  4. Step 4: Simplify right side
    6,448.91x = 30,602,173.84
  5. Step 5: Solve for x
    x = 30,602,173.84/6,448.91
  6. Step 6: Final answer
    x = 4,745.32

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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.