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Finding the Fourth Proportional to 2,646.95, 3,967.52 and 1,919.70

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Solution

The fourth proportional to 2,646.95, 3,967.52 and 1,919.70 is: 2,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.95 : 3,967.52 = 1,919.70 : x
  2. Step 2: Convert to fraction form
    2,646.95/3,967.52 = 1,919.70/x
  3. Step 3: Cross multiply
    2,646.95x = 3,967.52 × 1,919.70
  4. Step 4: Simplify right side
    2,646.95x = 7,616,438.55
  5. Step 5: Solve for x
    x = 7,616,438.55/2,646.95
  6. Step 6: Final answer
    x = 2,877.44

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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.