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Finding the Fourth Proportional to 3,155.74, 4,728.38 and 1,919.41

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Solution

The fourth proportional to 3,155.74, 4,728.38 and 1,919.41 is: 2,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.74 : 4,728.38 = 1,919.41 : x
  2. Step 2: Convert to fraction form
    3,155.74/4,728.38 = 1,919.41/x
  3. Step 3: Cross multiply
    3,155.74x = 4,728.38 × 1,919.41
  4. Step 4: Simplify right side
    3,155.74x = 9,075,703.37
  5. Step 5: Solve for x
    x = 9,075,703.37/3,155.74
  6. Step 6: Final answer
    x = 2,875.93

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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.