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Finding the Fourth Proportional to 3,984, 5,978.16 and 1,932

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Solution

The fourth proportional to 3,984, 5,978.16 and 1,932 is: 2,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,978.16 = 1,932 : x
  2. Step 2: Convert to fraction form
    3,984/5,978.16 = 1,932/x
  3. Step 3: Cross multiply
    3,984x = 5,978.16 × 1,932
  4. Step 4: Simplify right side
    3,984x = 11,549,805.12
  5. Step 5: Solve for x
    x = 11,549,805.12/3,984
  6. Step 6: Final answer
    x = 2,899.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.