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Finding the Fourth Proportional to 8,260.70, 12,415.35 and 8,114.90

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Solution

The fourth proportional to 8,260.70, 12,415.35 and 8,114.90 is: 12,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.70 : 12,415.35 = 8,114.90 : x
  2. Step 2: Convert to fraction form
    8,260.70/12,415.35 = 8,114.90/x
  3. Step 3: Cross multiply
    8,260.70x = 12,415.35 × 8,114.90
  4. Step 4: Simplify right side
    8,260.70x = 100,749,323.72
  5. Step 5: Solve for x
    x = 100,749,323.72/8,260.70
  6. Step 6: Final answer
    x = 12,196.22

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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.