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Finding the Fourth Proportional to 1,978.16, 2,729.84 and 1,094

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Solution

The fourth proportional to 1,978.16, 2,729.84 and 1,094 is: 1,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.16 : 2,729.84 = 1,094 : x
  2. Step 2: Convert to fraction form
    1,978.16/2,729.84 = 1,094/x
  3. Step 3: Cross multiply
    1,978.16x = 2,729.84 × 1,094
  4. Step 4: Simplify right side
    1,978.16x = 2,986,444.96
  5. Step 5: Solve for x
    x = 2,986,444.96/1,978.16
  6. Step 6: Final answer
    x = 1,509.71

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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.