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Finding the Fourth Proportional to 9,321.50, 13,973.74 and 8,509.88

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Solution

The fourth proportional to 9,321.50, 13,973.74 and 8,509.88 is: 12,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.50 : 13,973.74 = 8,509.88 : x
  2. Step 2: Convert to fraction form
    9,321.50/13,973.74 = 8,509.88/x
  3. Step 3: Cross multiply
    9,321.50x = 13,973.74 × 8,509.88
  4. Step 4: Simplify right side
    9,321.50x = 118,914,850.55
  5. Step 5: Solve for x
    x = 118,914,850.55/9,321.50
  6. Step 6: Final answer
    x = 12,757.05

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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.