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Finding the Fourth Proportional to 28,496.26, 42,745.59 and 7,719.74

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Solution

The fourth proportional to 28,496.26, 42,745.59 and 7,719.74 is: 11,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496.26 : 42,745.59 = 7,719.74 : x
  2. Step 2: Convert to fraction form
    28,496.26/42,745.59 = 7,719.74/x
  3. Step 3: Cross multiply
    28,496.26x = 42,745.59 × 7,719.74
  4. Step 4: Simplify right side
    28,496.26x = 329,984,840.95
  5. Step 5: Solve for x
    x = 329,984,840.95/28,496.26
  6. Step 6: Final answer
    x = 11,579.94

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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.