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Finding the Fourth Proportional to 9,250.88, 13,858.40 and 8,216.64

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Solution

The fourth proportional to 9,250.88, 13,858.40 and 8,216.64 is: 12,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.88 : 13,858.40 = 8,216.64 : x
  2. Step 2: Convert to fraction form
    9,250.88/13,858.40 = 8,216.64/x
  3. Step 3: Cross multiply
    9,250.88x = 13,858.40 × 8,216.64
  4. Step 4: Simplify right side
    9,250.88x = 113,869,483.78
  5. Step 5: Solve for x
    x = 113,869,483.78/9,250.88
  6. Step 6: Final answer
    x = 12,309.04

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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.