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Finding the Fourth Proportional to 4,986.21, 7,480.78 and 1,476.31

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Solution

The fourth proportional to 4,986.21, 7,480.78 and 1,476.31 is: 2,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.21 : 7,480.78 = 1,476.31 : x
  2. Step 2: Convert to fraction form
    4,986.21/7,480.78 = 1,476.31/x
  3. Step 3: Cross multiply
    4,986.21x = 7,480.78 × 1,476.31
  4. Step 4: Simplify right side
    4,986.21x = 11,043,918.84
  5. Step 5: Solve for x
    x = 11,043,918.84/4,986.21
  6. Step 6: Final answer
    x = 2,214.89

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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.