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Finding the Fourth Proportional to 1,978.30, 2,967.52 and 679.76

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Solution

The fourth proportional to 1,978.30, 2,967.52 and 679.76 is: 1,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.30 : 2,967.52 = 679.76 : x
  2. Step 2: Convert to fraction form
    1,978.30/2,967.52 = 679.76/x
  3. Step 3: Cross multiply
    1,978.30x = 2,967.52 × 679.76
  4. Step 4: Simplify right side
    1,978.30x = 2,017,201.40
  5. Step 5: Solve for x
    x = 2,017,201.40/1,978.30
  6. Step 6: Final answer
    x = 1,019.66

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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.