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Finding the Fourth Proportional to 28,389.75, 42,584.78 and 7,328.35

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Solution

The fourth proportional to 28,389.75, 42,584.78 and 7,328.35 is: 10,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,389.75 : 42,584.78 = 7,328.35 : x
  2. Step 2: Convert to fraction form
    28,389.75/42,584.78 = 7,328.35/x
  3. Step 3: Cross multiply
    28,389.75x = 42,584.78 × 7,328.35
  4. Step 4: Simplify right side
    28,389.75x = 312,076,029.41
  5. Step 5: Solve for x
    x = 312,076,029.41/28,389.75
  6. Step 6: Final answer
    x = 10,992.56

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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.