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Finding the Fourth Proportional to 3,918.95, 5,878.62 and 1,968.87

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Solution

The fourth proportional to 3,918.95, 5,878.62 and 1,968.87 is: 2,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.95 : 5,878.62 = 1,968.87 : x
  2. Step 2: Convert to fraction form
    3,918.95/5,878.62 = 1,968.87/x
  3. Step 3: Cross multiply
    3,918.95x = 5,878.62 × 1,968.87
  4. Step 4: Simplify right side
    3,918.95x = 11,574,238.56
  5. Step 5: Solve for x
    x = 11,574,238.56/3,918.95
  6. Step 6: Final answer
    x = 2,953.40

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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.