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Finding the Fourth Proportional to 3,036, 4,198.32 and 2,898.48

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Solution

The fourth proportional to 3,036, 4,198.32 and 2,898.48 is: 4,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 4,198.32 = 2,898.48 : x
  2. Step 2: Convert to fraction form
    3,036/4,198.32 = 2,898.48/x
  3. Step 3: Cross multiply
    3,036x = 4,198.32 × 2,898.48
  4. Step 4: Simplify right side
    3,036x = 12,168,746.55
  5. Step 5: Solve for x
    x = 12,168,746.55/3,036
  6. Step 6: Final answer
    x = 4,008.15

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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.