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Finding the Fourth Proportional to 5,310.88, 7,964.39 and 1,978.36

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Solution

The fourth proportional to 5,310.88, 7,964.39 and 1,978.36 is: 2,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.88 : 7,964.39 = 1,978.36 : x
  2. Step 2: Convert to fraction form
    5,310.88/7,964.39 = 1,978.36/x
  3. Step 3: Cross multiply
    5,310.88x = 7,964.39 × 1,978.36
  4. Step 4: Simplify right side
    5,310.88x = 15,756,415.64
  5. Step 5: Solve for x
    x = 15,756,415.64/5,310.88
  6. Step 6: Final answer
    x = 2,966.82

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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.