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Finding the Fourth Proportional to 1,919.71, 2,649.24 and 1,069.03

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Solution

The fourth proportional to 1,919.71, 2,649.24 and 1,069.03 is: 1,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.71 : 2,649.24 = 1,069.03 : x
  2. Step 2: Convert to fraction form
    1,919.71/2,649.24 = 1,069.03/x
  3. Step 3: Cross multiply
    1,919.71x = 2,649.24 × 1,069.03
  4. Step 4: Simplify right side
    1,919.71x = 2,832,117.04
  5. Step 5: Solve for x
    x = 2,832,117.04/1,919.71
  6. Step 6: Final answer
    x = 1,475.28

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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.