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Finding the Fourth Proportional to 28,804.96, 43,215 and 9,084.16

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Solution

The fourth proportional to 28,804.96, 43,215 and 9,084.16 is: 13,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,804.96 : 43,215 = 9,084.16 : x
  2. Step 2: Convert to fraction form
    28,804.96/43,215 = 9,084.16/x
  3. Step 3: Cross multiply
    28,804.96x = 43,215 × 9,084.16
  4. Step 4: Simplify right side
    28,804.96x = 392,571,974.40
  5. Step 5: Solve for x
    x = 392,571,974.40/28,804.96
  6. Step 6: Final answer
    x = 13,628.62

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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.