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Finding the Fourth Proportional to 3,254.82, 4,882.95 and 946.50

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Solution

The fourth proportional to 3,254.82, 4,882.95 and 946.50 is: 1,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.82 : 4,882.95 = 946.50 : x
  2. Step 2: Convert to fraction form
    3,254.82/4,882.95 = 946.50/x
  3. Step 3: Cross multiply
    3,254.82x = 4,882.95 × 946.50
  4. Step 4: Simplify right side
    3,254.82x = 4,621,712.18
  5. Step 5: Solve for x
    x = 4,621,712.18/3,254.82
  6. Step 6: Final answer
    x = 1,419.96

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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.