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Finding the Fourth Proportional to 6,651.48, 9,978.68 and 1,971.85

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Solution

The fourth proportional to 6,651.48, 9,978.68 and 1,971.85 is: 2,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.48 : 9,978.68 = 1,971.85 : x
  2. Step 2: Convert to fraction form
    6,651.48/9,978.68 = 1,971.85/x
  3. Step 3: Cross multiply
    6,651.48x = 9,978.68 × 1,971.85
  4. Step 4: Simplify right side
    6,651.48x = 19,676,460.16
  5. Step 5: Solve for x
    x = 19,676,460.16/6,651.48
  6. Step 6: Final answer
    x = 2,958.21

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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.