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Finding the Fourth Proportional to 28,540.54, 42,800.16 and 9,815.27

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Solution

The fourth proportional to 28,540.54, 42,800.16 and 9,815.27 is: 14,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,540.54 : 42,800.16 = 9,815.27 : x
  2. Step 2: Convert to fraction form
    28,540.54/42,800.16 = 9,815.27/x
  3. Step 3: Cross multiply
    28,540.54x = 42,800.16 × 9,815.27
  4. Step 4: Simplify right side
    28,540.54x = 420,095,126.44
  5. Step 5: Solve for x
    x = 420,095,126.44/28,540.54
  6. Step 6: Final answer
    x = 14,719.24

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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.