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Finding the Fourth Proportional to 38,592, 53,257.32 and 21,825.36

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Solution

The fourth proportional to 38,592, 53,257.32 and 21,825.36 is: 30,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592 : 53,257.32 = 21,825.36 : x
  2. Step 2: Convert to fraction form
    38,592/53,257.32 = 21,825.36/x
  3. Step 3: Cross multiply
    38,592x = 53,257.32 × 21,825.36
  4. Step 4: Simplify right side
    38,592x = 1,162,360,181.64
  5. Step 5: Solve for x
    x = 1,162,360,181.64/38,592
  6. Step 6: Final answer
    x = 30,119.20

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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.