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Finding the Fourth Proportional to 3,254, 4,881.72 and 1,202

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Solution

The fourth proportional to 3,254, 4,881.72 and 1,202 is: 1,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254 : 4,881.72 = 1,202 : x
  2. Step 2: Convert to fraction form
    3,254/4,881.72 = 1,202/x
  3. Step 3: Cross multiply
    3,254x = 4,881.72 × 1,202
  4. Step 4: Simplify right side
    3,254x = 5,867,827.44
  5. Step 5: Solve for x
    x = 5,867,827.44/3,254
  6. Step 6: Final answer
    x = 1,803.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.