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Finding the Fourth Proportional to 2,712.79, 4,069.52 and 957.43

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Solution

The fourth proportional to 2,712.79, 4,069.52 and 957.43 is: 1,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.79 : 4,069.52 = 957.43 : x
  2. Step 2: Convert to fraction form
    2,712.79/4,069.52 = 957.43/x
  3. Step 3: Cross multiply
    2,712.79x = 4,069.52 × 957.43
  4. Step 4: Simplify right side
    2,712.79x = 3,896,291.01
  5. Step 5: Solve for x
    x = 3,896,291.01/2,712.79
  6. Step 6: Final answer
    x = 1,436.27

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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.