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Finding the Fourth Proportional to 2,990.00, 4,483.97 and 1,141.64

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Solution

The fourth proportional to 2,990.00, 4,483.97 and 1,141.64 is: 1,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.00 : 4,483.97 = 1,141.64 : x
  2. Step 2: Convert to fraction form
    2,990.00/4,483.97 = 1,141.64/x
  3. Step 3: Cross multiply
    2,990.00x = 4,483.97 × 1,141.64
  4. Step 4: Simplify right side
    2,990.00x = 5,119,072.48
  5. Step 5: Solve for x
    x = 5,119,072.48/2,990.00
  6. Step 6: Final answer
    x = 1,712.06

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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.