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Finding the Fourth Proportional to 27,792, 38,352.96 and 15,216.84

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Solution

The fourth proportional to 27,792, 38,352.96 and 15,216.84 is: 20,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 38,352.96 = 15,216.84 : x
  2. Step 2: Convert to fraction form
    27,792/38,352.96 = 15,216.84/x
  3. Step 3: Cross multiply
    27,792x = 38,352.96 × 15,216.84
  4. Step 4: Simplify right side
    27,792x = 583,610,855.85
  5. Step 5: Solve for x
    x = 583,610,855.85/27,792
  6. Step 6: Final answer
    x = 20,999.24

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Why These Related Problems?

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