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Finding the Fourth Proportional to 3,254.48, 4,882.20 and 946.16

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Solution

The fourth proportional to 3,254.48, 4,882.20 and 946.16 is: 1,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.48 : 4,882.20 = 946.16 : x
  2. Step 2: Convert to fraction form
    3,254.48/4,882.20 = 946.16/x
  3. Step 3: Cross multiply
    3,254.48x = 4,882.20 × 946.16
  4. Step 4: Simplify right side
    3,254.48x = 4,619,342.35
  5. Step 5: Solve for x
    x = 4,619,342.35/3,254.48
  6. Step 6: Final answer
    x = 1,419.38

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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.