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Finding the Fourth Proportional to 2,378, 3,567.06 and 990.94

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Solution

The fourth proportional to 2,378, 3,567.06 and 990.94 is: 1,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,567.06 = 990.94 : x
  2. Step 2: Convert to fraction form
    2,378/3,567.06 = 990.94/x
  3. Step 3: Cross multiply
    2,378x = 3,567.06 × 990.94
  4. Step 4: Simplify right side
    2,378x = 3,534,742.44
  5. Step 5: Solve for x
    x = 3,534,742.44/2,378
  6. Step 6: Final answer
    x = 1,486.44

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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.