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Finding the Fourth Proportional to 2,990, 4,123.08 and 1,810.64

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Solution

The fourth proportional to 2,990, 4,123.08 and 1,810.64 is: 2,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990 : 4,123.08 = 1,810.64 : x
  2. Step 2: Convert to fraction form
    2,990/4,123.08 = 1,810.64/x
  3. Step 3: Cross multiply
    2,990x = 4,123.08 × 1,810.64
  4. Step 4: Simplify right side
    2,990x = 7,465,413.57
  5. Step 5: Solve for x
    x = 7,465,413.57/2,990
  6. Step 6: Final answer
    x = 2,496.79

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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.