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Finding the Fourth Proportional to 1,920.94, 2,649.42 and 1,655.82

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Solution

The fourth proportional to 1,920.94, 2,649.42 and 1,655.82 is: 2,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.94 : 2,649.42 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    1,920.94/2,649.42 = 1,655.82/x
  3. Step 3: Cross multiply
    1,920.94x = 2,649.42 × 1,655.82
  4. Step 4: Simplify right side
    1,920.94x = 4,386,962.62
  5. Step 5: Solve for x
    x = 4,386,962.62/1,920.94
  6. Step 6: Final answer
    x = 2,283.76

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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.