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Finding the Fourth Proportional to 1,954.94, 2,930.58 and 979.90

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Solution

The fourth proportional to 1,954.94, 2,930.58 and 979.90 is: 1,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.94 : 2,930.58 = 979.90 : x
  2. Step 2: Convert to fraction form
    1,954.94/2,930.58 = 979.90/x
  3. Step 3: Cross multiply
    1,954.94x = 2,930.58 × 979.90
  4. Step 4: Simplify right side
    1,954.94x = 2,871,668.02
  5. Step 5: Solve for x
    x = 2,871,668.02/1,954.94
  6. Step 6: Final answer
    x = 1,468.93

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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.