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Finding the Fourth Proportional to 2,712.94, 4,069.98 and 957.87

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Solution

The fourth proportional to 2,712.94, 4,069.98 and 957.87 is: 1,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 4,069.98 = 957.87 : x
  2. Step 2: Convert to fraction form
    2,712.94/4,069.98 = 957.87/x
  3. Step 3: Cross multiply
    2,712.94x = 4,069.98 × 957.87
  4. Step 4: Simplify right side
    2,712.94x = 3,898,511.74
  5. Step 5: Solve for x
    x = 3,898,511.74/2,712.94
  6. Step 6: Final answer
    x = 1,437.01

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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.