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Finding the Fourth Proportional to 7,981.60, 11,983 and 6,819.06

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Solution

The fourth proportional to 7,981.60, 11,983 and 6,819.06 is: 10,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.60 : 11,983 = 6,819.06 : x
  2. Step 2: Convert to fraction form
    7,981.60/11,983 = 6,819.06/x
  3. Step 3: Cross multiply
    7,981.60x = 11,983 × 6,819.06
  4. Step 4: Simplify right side
    7,981.60x = 81,712,795.98
  5. Step 5: Solve for x
    x = 81,712,795.98/7,981.60
  6. Step 6: Final answer
    x = 10,237.65

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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.