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Finding the Fourth Proportional to 9,984.50, 14,978.11 and 3,408.92

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Solution

The fourth proportional to 9,984.50, 14,978.11 and 3,408.92 is: 5,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.50 : 14,978.11 = 3,408.92 : x
  2. Step 2: Convert to fraction form
    9,984.50/14,978.11 = 3,408.92/x
  3. Step 3: Cross multiply
    9,984.50x = 14,978.11 × 3,408.92
  4. Step 4: Simplify right side
    9,984.50x = 51,059,178.74
  5. Step 5: Solve for x
    x = 51,059,178.74/9,984.50
  6. Step 6: Final answer
    x = 5,113.84

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1.5x scale

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.