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Finding the Fourth Proportional to 9,858.68, 13,596.08 and 6,321.20

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Solution

The fourth proportional to 9,858.68, 13,596.08 and 6,321.20 is: 8,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.68 : 13,596.08 = 6,321.20 : x
  2. Step 2: Convert to fraction form
    9,858.68/13,596.08 = 6,321.20/x
  3. Step 3: Cross multiply
    9,858.68x = 13,596.08 × 6,321.20
  4. Step 4: Simplify right side
    9,858.68x = 85,943,540.90
  5. Step 5: Solve for x
    x = 85,943,540.90/9,858.68
  6. Step 6: Final answer
    x = 8,717.55

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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.