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Finding the Fourth Proportional to 3,480.02, 4,804.08 and 2,154.50

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Solution

The fourth proportional to 3,480.02, 4,804.08 and 2,154.50 is: 2,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.02 : 4,804.08 = 2,154.50 : x
  2. Step 2: Convert to fraction form
    3,480.02/4,804.08 = 2,154.50/x
  3. Step 3: Cross multiply
    3,480.02x = 4,804.08 × 2,154.50
  4. Step 4: Simplify right side
    3,480.02x = 10,350,390.36
  5. Step 5: Solve for x
    x = 10,350,390.36/3,480.02
  6. Step 6: Final answer
    x = 2,974.23

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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.