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Finding the Fourth Proportional to 8,270.67, 12,392.77 and 7,431.40

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Solution

The fourth proportional to 8,270.67, 12,392.77 and 7,431.40 is: 11,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.67 : 12,392.77 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    8,270.67/12,392.77 = 7,431.40/x
  3. Step 3: Cross multiply
    8,270.67x = 12,392.77 × 7,431.40
  4. Step 4: Simplify right side
    8,270.67x = 92,095,630.98
  5. Step 5: Solve for x
    x = 92,095,630.98/8,270.67
  6. Step 6: Final answer
    x = 11,135.21

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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.