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Finding the Fourth Proportional to 6,651.05, 9,978.04 and 1,971.43

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Solution

The fourth proportional to 6,651.05, 9,978.04 and 1,971.43 is: 2,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.05 : 9,978.04 = 1,971.43 : x
  2. Step 2: Convert to fraction form
    6,651.05/9,978.04 = 1,971.43/x
  3. Step 3: Cross multiply
    6,651.05x = 9,978.04 × 1,971.43
  4. Step 4: Simplify right side
    6,651.05x = 19,671,007.40
  5. Step 5: Solve for x
    x = 19,671,007.40/6,651.05
  6. Step 6: Final answer
    x = 2,957.58

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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.