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Finding the Fourth Proportional to 7,971.85, 12,004.08 and 5,906.50

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Solution

The fourth proportional to 7,971.85, 12,004.08 and 5,906.50 is: 8,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.85 : 12,004.08 = 5,906.50 : x
  2. Step 2: Convert to fraction form
    7,971.85/12,004.08 = 5,906.50/x
  3. Step 3: Cross multiply
    7,971.85x = 12,004.08 × 5,906.50
  4. Step 4: Simplify right side
    7,971.85x = 70,902,098.52
  5. Step 5: Solve for x
    x = 70,902,098.52/7,971.85
  6. Step 6: Final answer
    x = 8,894.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.