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Finding the Fourth Proportional to 1,952.94, 2,927.64 and 719.49

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Solution

The fourth proportional to 1,952.94, 2,927.64 and 719.49 is: 1,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.94 : 2,927.64 = 719.49 : x
  2. Step 2: Convert to fraction form
    1,952.94/2,927.64 = 719.49/x
  3. Step 3: Cross multiply
    1,952.94x = 2,927.64 × 719.49
  4. Step 4: Simplify right side
    1,952.94x = 2,106,407.70
  5. Step 5: Solve for x
    x = 2,106,407.70/1,952.94
  6. Step 6: Final answer
    x = 1,078.58

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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.