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Finding the Fourth Proportional to 1,954.71, 2,930.04 and 784.44

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Solution

The fourth proportional to 1,954.71, 2,930.04 and 784.44 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.71 : 2,930.04 = 784.44 : x
  2. Step 2: Convert to fraction form
    1,954.71/2,930.04 = 784.44/x
  3. Step 3: Cross multiply
    1,954.71x = 2,930.04 × 784.44
  4. Step 4: Simplify right side
    1,954.71x = 2,298,440.58
  5. Step 5: Solve for x
    x = 2,298,440.58/1,954.71
  6. Step 6: Final answer
    x = 1,175.85

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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.