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Finding the Fourth Proportional to 27,825, 38,400.93 and 15,252.18

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Solution

The fourth proportional to 27,825, 38,400.93 and 15,252.18 is: 21,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 38,400.93 = 15,252.18 : x
  2. Step 2: Convert to fraction form
    27,825/38,400.93 = 15,252.18/x
  3. Step 3: Cross multiply
    27,825x = 38,400.93 × 15,252.18
  4. Step 4: Simplify right side
    27,825x = 585,697,896.53
  5. Step 5: Solve for x
    x = 585,697,896.53/27,825
  6. Step 6: Final answer
    x = 21,049.34

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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.