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Finding the Fourth Proportional to 30,469.76, 45,578.24 and 28,603.52

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Solution

The fourth proportional to 30,469.76, 45,578.24 and 28,603.52 is: 42,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.76 : 45,578.24 = 28,603.52 : x
  2. Step 2: Convert to fraction form
    30,469.76/45,578.24 = 28,603.52/x
  3. Step 3: Cross multiply
    30,469.76x = 45,578.24 × 28,603.52
  4. Step 4: Simplify right side
    30,469.76x = 1,303,698,099.40
  5. Step 5: Solve for x
    x = 1,303,698,099.40/30,469.76
  6. Step 6: Final answer
    x = 42,786.62

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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.