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Finding the Fourth Proportional to 27,802.54, 38,367.75 and 15,865.75

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Solution

The fourth proportional to 27,802.54, 38,367.75 and 15,865.75 is: 21,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.54 : 38,367.75 = 15,865.75 : x
  2. Step 2: Convert to fraction form
    27,802.54/38,367.75 = 15,865.75/x
  3. Step 3: Cross multiply
    27,802.54x = 38,367.75 × 15,865.75
  4. Step 4: Simplify right side
    27,802.54x = 608,733,129.56
  5. Step 5: Solve for x
    x = 608,733,129.56/27,802.54
  6. Step 6: Final answer
    x = 21,894.87

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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.