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Finding the Fourth Proportional to 28,596.24, 42,879.78 and 13,000.50

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Solution

The fourth proportional to 28,596.24, 42,879.78 and 13,000.50 is: 19,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.24 : 42,879.78 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    28,596.24/42,879.78 = 13,000.50/x
  3. Step 3: Cross multiply
    28,596.24x = 42,879.78 × 13,000.50
  4. Step 4: Simplify right side
    28,596.24x = 557,458,579.89
  5. Step 5: Solve for x
    x = 557,458,579.89/28,596.24
  6. Step 6: Final answer
    x = 19,494.12

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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.