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Finding the Fourth Proportional to 28,007.52, 42,018.36 and 8,286

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Solution

The fourth proportional to 28,007.52, 42,018.36 and 8,286 is: 12,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007.52 : 42,018.36 = 8,286 : x
  2. Step 2: Convert to fraction form
    28,007.52/42,018.36 = 8,286/x
  3. Step 3: Cross multiply
    28,007.52x = 42,018.36 × 8,286
  4. Step 4: Simplify right side
    28,007.52x = 348,164,130.96
  5. Step 5: Solve for x
    x = 348,164,130.96/28,007.52
  6. Step 6: Final answer
    x = 12,431.09

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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.