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Finding the Fourth Proportional to 8,271.50, 12,407.26 and 2,115.50

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Solution

The fourth proportional to 8,271.50, 12,407.26 and 2,115.50 is: 3,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.50 : 12,407.26 = 2,115.50 : x
  2. Step 2: Convert to fraction form
    8,271.50/12,407.26 = 2,115.50/x
  3. Step 3: Cross multiply
    8,271.50x = 12,407.26 × 2,115.50
  4. Step 4: Simplify right side
    8,271.50x = 26,247,558.53
  5. Step 5: Solve for x
    x = 26,247,558.53/8,271.50
  6. Step 6: Final answer
    x = 3,173.25

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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.