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Finding the Fourth Proportional to 1,978.01, 2,729.66 and 1,093.88

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Solution

The fourth proportional to 1,978.01, 2,729.66 and 1,093.88 is: 1,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.01 : 2,729.66 = 1,093.88 : x
  2. Step 2: Convert to fraction form
    1,978.01/2,729.66 = 1,093.88/x
  3. Step 3: Cross multiply
    1,978.01x = 2,729.66 × 1,093.88
  4. Step 4: Simplify right side
    1,978.01x = 2,985,901.36
  5. Step 5: Solve for x
    x = 2,985,901.36/1,978.01
  6. Step 6: Final answer
    x = 1,509.55

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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.