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Finding the Fourth Proportional to 35,643, 49,200.30 and 20,739

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Solution

The fourth proportional to 35,643, 49,200.30 and 20,739 is: 28,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643 : 49,200.30 = 20,739 : x
  2. Step 2: Convert to fraction form
    35,643/49,200.30 = 20,739/x
  3. Step 3: Cross multiply
    35,643x = 49,200.30 × 20,739
  4. Step 4: Simplify right side
    35,643x = 1,020,365,021.70
  5. Step 5: Solve for x
    x = 1,020,365,021.70/35,643
  6. Step 6: Final answer
    x = 28,627.36

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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.