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Finding the Fourth Proportional to 1,921.78, 2,649.98 and 1,670.88

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Solution

The fourth proportional to 1,921.78, 2,649.98 and 1,670.88 is: 2,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.78 : 2,649.98 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    1,921.78/2,649.98 = 1,670.88/x
  3. Step 3: Cross multiply
    1,921.78x = 2,649.98 × 1,670.88
  4. Step 4: Simplify right side
    1,921.78x = 4,427,798.58
  5. Step 5: Solve for x
    x = 4,427,798.58/1,921.78
  6. Step 6: Final answer
    x = 2,304.01

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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.