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Finding the Fourth Proportional to 15,633.12, 21,568.08 and 9,662.88

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Solution

The fourth proportional to 15,633.12, 21,568.08 and 9,662.88 is: 13,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.12 : 21,568.08 = 9,662.88 : x
  2. Step 2: Convert to fraction form
    15,633.12/21,568.08 = 9,662.88/x
  3. Step 3: Cross multiply
    15,633.12x = 21,568.08 × 9,662.88
  4. Step 4: Simplify right side
    15,633.12x = 208,409,768.87
  5. Step 5: Solve for x
    x = 208,409,768.87/15,633.12
  6. Step 6: Final answer
    x = 13,331.30

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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.