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Finding the Fourth Proportional to 3,419.88, 4,719.70 and 1,907.65

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Solution

The fourth proportional to 3,419.88, 4,719.70 and 1,907.65 is: 2,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.88 : 4,719.70 = 1,907.65 : x
  2. Step 2: Convert to fraction form
    3,419.88/4,719.70 = 1,907.65/x
  3. Step 3: Cross multiply
    3,419.88x = 4,719.70 × 1,907.65
  4. Step 4: Simplify right side
    3,419.88x = 9,003,535.71
  5. Step 5: Solve for x
    x = 9,003,535.71/3,419.88
  6. Step 6: Final answer
    x = 2,632.71

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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.