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Finding the Fourth Proportional to 3,042.94, 4,564.40 and 990.94

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Solution

The fourth proportional to 3,042.94, 4,564.40 and 990.94 is: 1,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.94 : 4,564.40 = 990.94 : x
  2. Step 2: Convert to fraction form
    3,042.94/4,564.40 = 990.94/x
  3. Step 3: Cross multiply
    3,042.94x = 4,564.40 × 990.94
  4. Step 4: Simplify right side
    3,042.94x = 4,523,046.54
  5. Step 5: Solve for x
    x = 4,523,046.54/3,042.94
  6. Step 6: Final answer
    x = 1,486.41

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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.