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Finding the Fourth Proportional to 3,218.54, 4,824.03 and 1,368.50

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Solution

The fourth proportional to 3,218.54, 4,824.03 and 1,368.50 is: 2,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.54 : 4,824.03 = 1,368.50 : x
  2. Step 2: Convert to fraction form
    3,218.54/4,824.03 = 1,368.50/x
  3. Step 3: Cross multiply
    3,218.54x = 4,824.03 × 1,368.50
  4. Step 4: Simplify right side
    3,218.54x = 6,601,685.06
  5. Step 5: Solve for x
    x = 6,601,685.06/3,218.54
  6. Step 6: Final answer
    x = 2,051.14

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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.