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Finding the Fourth Proportional to 27,792, 38,352.96 and 15,216.78

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Solution

The fourth proportional to 27,792, 38,352.96 and 15,216.78 is: 20,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 38,352.96 = 15,216.78 : x
  2. Step 2: Convert to fraction form
    27,792/38,352.96 = 15,216.78/x
  3. Step 3: Cross multiply
    27,792x = 38,352.96 × 15,216.78
  4. Step 4: Simplify right side
    27,792x = 583,608,554.67
  5. Step 5: Solve for x
    x = 583,608,554.67/27,792
  6. Step 6: Final answer
    x = 20,999.16

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1.5x scale

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.