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Finding the Fourth Proportional to 3,769,041.60, 5,651,812.80 and 1,638,028.80

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Solution

The fourth proportional to 3,769,041.60, 5,651,812.80 and 1,638,028.80 is: 2,456,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769,041.60 : 5,651,812.80 = 1,638,028.80 : x
  2. Step 2: Convert to fraction form
    3,769,041.60/5,651,812.80 = 1,638,028.80/x
  3. Step 3: Cross multiply
    3,769,041.60x = 5,651,812.80 × 1,638,028.80
  4. Step 4: Simplify right side
    3,769,041.60x = 9,257,832,138,608.64
  5. Step 5: Solve for x
    x = 9,257,832,138,608.64/3,769,041.60
  6. Step 6: Final answer
    x = 2,456,282.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.