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Finding the Fourth Proportional to 28,499.50, 42,749.27 and 7,723

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Solution

The fourth proportional to 28,499.50, 42,749.27 and 7,723 is: 11,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,499.50 : 42,749.27 = 7,723 : x
  2. Step 2: Convert to fraction form
    28,499.50/42,749.27 = 7,723/x
  3. Step 3: Cross multiply
    28,499.50x = 42,749.27 × 7,723
  4. Step 4: Simplify right side
    28,499.50x = 330,152,573.60
  5. Step 5: Solve for x
    x = 330,152,573.60/28,499.50
  6. Step 6: Final answer
    x = 11,584.50

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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.