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Finding the Fourth Proportional to 9,289.92, 13,936.77 and 8,360.46

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Solution

The fourth proportional to 9,289.92, 13,936.77 and 8,360.46 is: 12,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.92 : 13,936.77 = 8,360.46 : x
  2. Step 2: Convert to fraction form
    9,289.92/13,936.77 = 8,360.46/x
  3. Step 3: Cross multiply
    9,289.92x = 13,936.77 × 8,360.46
  4. Step 4: Simplify right side
    9,289.92x = 116,517,808.11
  5. Step 5: Solve for x
    x = 116,517,808.11/9,289.92
  6. Step 6: Final answer
    x = 12,542.39

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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.