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Finding the Fourth Proportional to 35,739, 49,319.86 and 20,837.88

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Solution

The fourth proportional to 35,739, 49,319.86 and 20,837.88 is: 28,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739 : 49,319.86 = 20,837.88 : x
  2. Step 2: Convert to fraction form
    35,739/49,319.86 = 20,837.88/x
  3. Step 3: Cross multiply
    35,739x = 49,319.86 × 20,837.88
  4. Step 4: Simplify right side
    35,739x = 1,027,721,324.30
  5. Step 5: Solve for x
    x = 1,027,721,324.30/35,739
  6. Step 6: Final answer
    x = 28,756.30

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1.5x scale

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.