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Finding the Fourth Proportional to 7,600.50, 11,400.75 and 2,983.50

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Solution

The fourth proportional to 7,600.50, 11,400.75 and 2,983.50 is: 4,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.50 : 11,400.75 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    7,600.50/11,400.75 = 2,983.50/x
  3. Step 3: Cross multiply
    7,600.50x = 11,400.75 × 2,983.50
  4. Step 4: Simplify right side
    7,600.50x = 34,014,137.63
  5. Step 5: Solve for x
    x = 34,014,137.63/7,600.50
  6. Step 6: Final answer
    x = 4,475.25

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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.