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Finding the Fourth Proportional to 7,760.70, 11,643.48 and 4,990.50

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Solution

The fourth proportional to 7,760.70, 11,643.48 and 4,990.50 is: 7,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.70 : 11,643.48 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    7,760.70/11,643.48 = 4,990.50/x
  3. Step 3: Cross multiply
    7,760.70x = 11,643.48 × 4,990.50
  4. Step 4: Simplify right side
    7,760.70x = 58,106,786.94
  5. Step 5: Solve for x
    x = 58,106,786.94/7,760.70
  6. Step 6: Final answer
    x = 7,487.31

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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.