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Finding the Fourth Proportional to 2,990.87, 4,127.50 and 1,646.54

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Solution

The fourth proportional to 2,990.87, 4,127.50 and 1,646.54 is: 2,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.87 : 4,127.50 = 1,646.54 : x
  2. Step 2: Convert to fraction form
    2,990.87/4,127.50 = 1,646.54/x
  3. Step 3: Cross multiply
    2,990.87x = 4,127.50 × 1,646.54
  4. Step 4: Simplify right side
    2,990.87x = 6,796,093.85
  5. Step 5: Solve for x
    x = 6,796,093.85/2,990.87
  6. Step 6: Final answer
    x = 2,272.28

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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.