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Finding the Fourth Proportional to 1,919.76, 2,652.09 and 1,290.09

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Solution

The fourth proportional to 1,919.76, 2,652.09 and 1,290.09 is: 1,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.76 : 2,652.09 = 1,290.09 : x
  2. Step 2: Convert to fraction form
    1,919.76/2,652.09 = 1,290.09/x
  3. Step 3: Cross multiply
    1,919.76x = 2,652.09 × 1,290.09
  4. Step 4: Simplify right side
    1,919.76x = 3,421,434.79
  5. Step 5: Solve for x
    x = 3,421,434.79/1,919.76
  6. Step 6: Final answer
    x = 1,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.