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Finding the Fourth Proportional to 38,896, 53,676.48 and 21,232

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Solution

The fourth proportional to 38,896, 53,676.48 and 21,232 is: 29,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896 : 53,676.48 = 21,232 : x
  2. Step 2: Convert to fraction form
    38,896/53,676.48 = 21,232/x
  3. Step 3: Cross multiply
    38,896x = 53,676.48 × 21,232
  4. Step 4: Simplify right side
    38,896x = 1,139,659,023.36
  5. Step 5: Solve for x
    x = 1,139,659,023.36/38,896
  6. Step 6: Final answer
    x = 29,300.16

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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.