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Finding the Fourth Proportional to 3,410.93, 4,707.05 and 1,918.85

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Solution

The fourth proportional to 3,410.93, 4,707.05 and 1,918.85 is: 2,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.93 : 4,707.05 = 1,918.85 : x
  2. Step 2: Convert to fraction form
    3,410.93/4,707.05 = 1,918.85/x
  3. Step 3: Cross multiply
    3,410.93x = 4,707.05 × 1,918.85
  4. Step 4: Simplify right side
    3,410.93x = 9,032,125.07
  5. Step 5: Solve for x
    x = 9,032,125.07/3,410.93
  6. Step 6: Final answer
    x = 2,647.99

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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.