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Finding the Fourth Proportional to 1,931.90, 2,893.80 and 1,519.07

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Solution

The fourth proportional to 1,931.90, 2,893.80 and 1,519.07 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.90 : 2,893.80 = 1,519.07 : x
  2. Step 2: Convert to fraction form
    1,931.90/2,893.80 = 1,519.07/x
  3. Step 3: Cross multiply
    1,931.90x = 2,893.80 × 1,519.07
  4. Step 4: Simplify right side
    1,931.90x = 4,395,884.77
  5. Step 5: Solve for x
    x = 4,395,884.77/1,931.90
  6. Step 6: Final answer
    x = 2,275.42

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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.