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Finding the Fourth Proportional to 2,984.81, 4,478.97 and 1,671.53

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Solution

The fourth proportional to 2,984.81, 4,478.97 and 1,671.53 is: 2,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.81 : 4,478.97 = 1,671.53 : x
  2. Step 2: Convert to fraction form
    2,984.81/4,478.97 = 1,671.53/x
  3. Step 3: Cross multiply
    2,984.81x = 4,478.97 × 1,671.53
  4. Step 4: Simplify right side
    2,984.81x = 7,486,732.72
  5. Step 5: Solve for x
    x = 7,486,732.72/2,984.81
  6. Step 6: Final answer
    x = 2,508.28

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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.