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Finding the Fourth Proportional to 35,250, 48,645 and 20,346

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Solution

The fourth proportional to 35,250, 48,645 and 20,346 is: 28,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,250 : 48,645 = 20,346 : x
  2. Step 2: Convert to fraction form
    35,250/48,645 = 20,346/x
  3. Step 3: Cross multiply
    35,250x = 48,645 × 20,346
  4. Step 4: Simplify right side
    35,250x = 989,731,170
  5. Step 5: Solve for x
    x = 989,731,170/35,250
  6. Step 6: Final answer
    x = 28,077.48

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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.