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Finding the Fourth Proportional to 27,802.77, 38,367.39 and 15,865.80

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Solution

The fourth proportional to 27,802.77, 38,367.39 and 15,865.80 is: 21,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.77 : 38,367.39 = 15,865.80 : x
  2. Step 2: Convert to fraction form
    27,802.77/38,367.39 = 15,865.80/x
  3. Step 3: Cross multiply
    27,802.77x = 38,367.39 × 15,865.80
  4. Step 4: Simplify right side
    27,802.77x = 608,729,336.26
  5. Step 5: Solve for x
    x = 608,729,336.26/27,802.77
  6. Step 6: Final answer
    x = 21,894.56

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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.