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Finding the Fourth Proportional to 4,128.02, 5,698.20 and 3,014.70

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Solution

The fourth proportional to 4,128.02, 5,698.20 and 3,014.70 is: 4,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.02 : 5,698.20 = 3,014.70 : x
  2. Step 2: Convert to fraction form
    4,128.02/5,698.20 = 3,014.70/x
  3. Step 3: Cross multiply
    4,128.02x = 5,698.20 × 3,014.70
  4. Step 4: Simplify right side
    4,128.02x = 17,178,363.54
  5. Step 5: Solve for x
    x = 17,178,363.54/4,128.02
  6. Step 6: Final answer
    x = 4,161.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.