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Finding the Fourth Proportional to 4,940.40, 7,409.96 and 1,862

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Solution

The fourth proportional to 4,940.40, 7,409.96 and 1,862 is: 2,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.40 : 7,409.96 = 1,862 : x
  2. Step 2: Convert to fraction form
    4,940.40/7,409.96 = 1,862/x
  3. Step 3: Cross multiply
    4,940.40x = 7,409.96 × 1,862
  4. Step 4: Simplify right side
    4,940.40x = 13,797,345.52
  5. Step 5: Solve for x
    x = 13,797,345.52/4,940.40
  6. Step 6: Final answer
    x = 2,792.76

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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.