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Finding the Fourth Proportional to 48,619, 72,928.50 and 15,787

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Solution

The fourth proportional to 48,619, 72,928.50 and 15,787 is: 23,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,619 : 72,928.50 = 15,787 : x
  2. Step 2: Convert to fraction form
    48,619/72,928.50 = 15,787/x
  3. Step 3: Cross multiply
    48,619x = 72,928.50 × 15,787
  4. Step 4: Simplify right side
    48,619x = 1,151,322,229.50
  5. Step 5: Solve for x
    x = 1,151,322,229.50/48,619
  6. Step 6: Final answer
    x = 23,680.50

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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.