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Finding the Fourth Proportional to 2,619.43, 3,926.40 and 974.95

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Solution

The fourth proportional to 2,619.43, 3,926.40 and 974.95 is: 1,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.43 : 3,926.40 = 974.95 : x
  2. Step 2: Convert to fraction form
    2,619.43/3,926.40 = 974.95/x
  3. Step 3: Cross multiply
    2,619.43x = 3,926.40 × 974.95
  4. Step 4: Simplify right side
    2,619.43x = 3,828,043.68
  5. Step 5: Solve for x
    x = 3,828,043.68/2,619.43
  6. Step 6: Final answer
    x = 1,461.40

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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.