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Finding the Fourth Proportional to 1,920.47, 2,881.37 and 1,099.43

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Solution

The fourth proportional to 1,920.47, 2,881.37 and 1,099.43 is: 1,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.47 : 2,881.37 = 1,099.43 : x
  2. Step 2: Convert to fraction form
    1,920.47/2,881.37 = 1,099.43/x
  3. Step 3: Cross multiply
    1,920.47x = 2,881.37 × 1,099.43
  4. Step 4: Simplify right side
    1,920.47x = 3,167,852.96
  5. Step 5: Solve for x
    x = 3,167,852.96/1,920.47
  6. Step 6: Final answer
    x = 1,649.52

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1.5x scale

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.