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Finding the Fourth Proportional to 5,984.32, 8,978.88 and 3,214.24

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Solution

The fourth proportional to 5,984.32, 8,978.88 and 3,214.24 is: 4,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.32 : 8,978.88 = 3,214.24 : x
  2. Step 2: Convert to fraction form
    5,984.32/8,978.88 = 3,214.24/x
  3. Step 3: Cross multiply
    5,984.32x = 8,978.88 × 3,214.24
  4. Step 4: Simplify right side
    5,984.32x = 28,860,275.25
  5. Step 5: Solve for x
    x = 28,860,275.25/5,984.32
  6. Step 6: Final answer
    x = 4,822.65

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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.