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Finding the Fourth Proportional to 1,920.71, 2,649.75 and 1,211.99

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Solution

The fourth proportional to 1,920.71, 2,649.75 and 1,211.99 is: 1,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.71 : 2,649.75 = 1,211.99 : x
  2. Step 2: Convert to fraction form
    1,920.71/2,649.75 = 1,211.99/x
  3. Step 3: Cross multiply
    1,920.71x = 2,649.75 × 1,211.99
  4. Step 4: Simplify right side
    1,920.71x = 3,211,457.25
  5. Step 5: Solve for x
    x = 3,211,457.25/1,920.71
  6. Step 6: Final answer
    x = 1,672.02

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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.