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Finding the Fourth Proportional to 27,647, 38,152.86 and 15,071.84

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Solution

The fourth proportional to 27,647, 38,152.86 and 15,071.84 is: 20,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 38,152.86 = 15,071.84 : x
  2. Step 2: Convert to fraction form
    27,647/38,152.86 = 15,071.84/x
  3. Step 3: Cross multiply
    27,647x = 38,152.86 × 15,071.84
  4. Step 4: Simplify right side
    27,647x = 575,033,801.46
  5. Step 5: Solve for x
    x = 575,033,801.46/27,647
  6. Step 6: Final answer
    x = 20,799.14

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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.