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Finding the Fourth Proportional to 8,143.21, 12,205.54 and 4,849.35

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Solution

The fourth proportional to 8,143.21, 12,205.54 and 4,849.35 is: 7,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.21 : 12,205.54 = 4,849.35 : x
  2. Step 2: Convert to fraction form
    8,143.21/12,205.54 = 4,849.35/x
  3. Step 3: Cross multiply
    8,143.21x = 12,205.54 × 4,849.35
  4. Step 4: Simplify right side
    8,143.21x = 59,188,935.40
  5. Step 5: Solve for x
    x = 59,188,935.40/8,143.21
  6. Step 6: Final answer
    x = 7,268.50

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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.