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Finding the Fourth Proportional to 2,712.40, 4,069.17 and 957.33

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Solution

The fourth proportional to 2,712.40, 4,069.17 and 957.33 is: 1,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.40 : 4,069.17 = 957.33 : x
  2. Step 2: Convert to fraction form
    2,712.40/4,069.17 = 957.33/x
  3. Step 3: Cross multiply
    2,712.40x = 4,069.17 × 957.33
  4. Step 4: Simplify right side
    2,712.40x = 3,895,538.52
  5. Step 5: Solve for x
    x = 3,895,538.52/2,712.40
  6. Step 6: Final answer
    x = 1,436.20

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1.5x scale

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.