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Finding the Fourth Proportional to 9,408.94, 12,984.76 and 5,631.39

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Solution

The fourth proportional to 9,408.94, 12,984.76 and 5,631.39 is: 7,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.94 : 12,984.76 = 5,631.39 : x
  2. Step 2: Convert to fraction form
    9,408.94/12,984.76 = 5,631.39/x
  3. Step 3: Cross multiply
    9,408.94x = 12,984.76 × 5,631.39
  4. Step 4: Simplify right side
    9,408.94x = 73,122,154.54
  5. Step 5: Solve for x
    x = 73,122,154.54/9,408.94
  6. Step 6: Final answer
    x = 7,771.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.