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Finding the Fourth Proportional to 8,321.63, 12,448.23 and 7,591.70

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Solution

The fourth proportional to 8,321.63, 12,448.23 and 7,591.70 is: 11,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.63 : 12,448.23 = 7,591.70 : x
  2. Step 2: Convert to fraction form
    8,321.63/12,448.23 = 7,591.70/x
  3. Step 3: Cross multiply
    8,321.63x = 12,448.23 × 7,591.70
  4. Step 4: Simplify right side
    8,321.63x = 94,503,165.45
  5. Step 5: Solve for x
    x = 94,503,165.45/8,321.63
  6. Step 6: Final answer
    x = 11,356.34

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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.