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Finding the Fourth Proportional to 8,271.58, 12,409.41 and 4,113.56

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Solution

The fourth proportional to 8,271.58, 12,409.41 and 4,113.56 is: 6,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.58 : 12,409.41 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    8,271.58/12,409.41 = 4,113.56/x
  3. Step 3: Cross multiply
    8,271.58x = 12,409.41 × 4,113.56
  4. Step 4: Simplify right side
    8,271.58x = 51,046,852.60
  5. Step 5: Solve for x
    x = 51,046,852.60/8,271.58
  6. Step 6: Final answer
    x = 6,171.35

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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.