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Finding the Fourth Proportional to 27,698.64, 38,211.93 and 18,743.01

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Solution

The fourth proportional to 27,698.64, 38,211.93 and 18,743.01 is: 25,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.64 : 38,211.93 = 18,743.01 : x
  2. Step 2: Convert to fraction form
    27,698.64/38,211.93 = 18,743.01/x
  3. Step 3: Cross multiply
    27,698.64x = 38,211.93 × 18,743.01
  4. Step 4: Simplify right side
    27,698.64x = 716,206,586.11
  5. Step 5: Solve for x
    x = 716,206,586.11/27,698.64
  6. Step 6: Final answer
    x = 25,857.10

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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.