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Finding the Fourth Proportional to 3,062.61, 4,592.48 and 982.14

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Solution

The fourth proportional to 3,062.61, 4,592.48 and 982.14 is: 1,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.61 : 4,592.48 = 982.14 : x
  2. Step 2: Convert to fraction form
    3,062.61/4,592.48 = 982.14/x
  3. Step 3: Cross multiply
    3,062.61x = 4,592.48 × 982.14
  4. Step 4: Simplify right side
    3,062.61x = 4,510,453.40
  5. Step 5: Solve for x
    x = 4,510,453.40/3,062.61
  6. Step 6: Final answer
    x = 1,472.75

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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.