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Finding the Fourth Proportional to 27,787.57, 38,346.84 and 15,212.32

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Solution

The fourth proportional to 27,787.57, 38,346.84 and 15,212.32 is: 20,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.57 : 38,346.84 = 15,212.32 : x
  2. Step 2: Convert to fraction form
    27,787.57/38,346.84 = 15,212.32/x
  3. Step 3: Cross multiply
    27,787.57x = 38,346.84 × 15,212.32
  4. Step 4: Simplify right side
    27,787.57x = 583,344,401.07
  5. Step 5: Solve for x
    x = 583,344,401.07/27,787.57
  6. Step 6: Final answer
    x = 20,993.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.