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Finding the Fourth Proportional to 28,848, 43,272 and 8,071.50

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Solution

The fourth proportional to 28,848, 43,272 and 8,071.50 is: 12,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,848 : 43,272 = 8,071.50 : x
  2. Step 2: Convert to fraction form
    28,848/43,272 = 8,071.50/x
  3. Step 3: Cross multiply
    28,848x = 43,272 × 8,071.50
  4. Step 4: Simplify right side
    28,848x = 349,269,948
  5. Step 5: Solve for x
    x = 349,269,948/28,848
  6. Step 6: Final answer
    x = 12,107.25

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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.