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Finding the Fourth Proportional to 3,989, 5,506.44 and 2,870.12

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Solution

The fourth proportional to 3,989, 5,506.44 and 2,870.12 is: 3,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989 : 5,506.44 = 2,870.12 : x
  2. Step 2: Convert to fraction form
    3,989/5,506.44 = 2,870.12/x
  3. Step 3: Cross multiply
    3,989x = 5,506.44 × 2,870.12
  4. Step 4: Simplify right side
    3,989x = 15,804,143.57
  5. Step 5: Solve for x
    x = 15,804,143.57/3,989
  6. Step 6: Final answer
    x = 3,961.93

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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.