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Finding the Fourth Proportional to 7,983.76, 11,977.76 and 7,112.24

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Solution

The fourth proportional to 7,983.76, 11,977.76 and 7,112.24 is: 10,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.76 : 11,977.76 = 7,112.24 : x
  2. Step 2: Convert to fraction form
    7,983.76/11,977.76 = 7,112.24/x
  3. Step 3: Cross multiply
    7,983.76x = 11,977.76 × 7,112.24
  4. Step 4: Simplify right side
    7,983.76x = 85,188,703.78
  5. Step 5: Solve for x
    x = 85,188,703.78/7,983.76
  6. Step 6: Final answer
    x = 10,670.25

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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.