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Finding the Fourth Proportional to 38,112, 52,594.83 and 21,345

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Solution

The fourth proportional to 38,112, 52,594.83 and 21,345 is: 29,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112 : 52,594.83 = 21,345 : x
  2. Step 2: Convert to fraction form
    38,112/52,594.83 = 21,345/x
  3. Step 3: Cross multiply
    38,112x = 52,594.83 × 21,345
  4. Step 4: Simplify right side
    38,112x = 1,122,636,646.35
  5. Step 5: Solve for x
    x = 1,122,636,646.35/38,112
  6. Step 6: Final answer
    x = 29,456.25

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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.