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Finding the Fourth Proportional to 8,991.96, 12,408.78 and 5,013

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Solution

The fourth proportional to 8,991.96, 12,408.78 and 5,013 is: 6,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.96 : 12,408.78 = 5,013 : x
  2. Step 2: Convert to fraction form
    8,991.96/12,408.78 = 5,013/x
  3. Step 3: Cross multiply
    8,991.96x = 12,408.78 × 5,013
  4. Step 4: Simplify right side
    8,991.96x = 62,205,214.14
  5. Step 5: Solve for x
    x = 62,205,214.14/8,991.96
  6. Step 6: Final answer
    x = 6,917.87

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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.