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Finding the Fourth Proportional to 21,482.88, 32,235.84 and 9,168

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Solution

The fourth proportional to 21,482.88, 32,235.84 and 9,168 is: 13,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482.88 : 32,235.84 = 9,168 : x
  2. Step 2: Convert to fraction form
    21,482.88/32,235.84 = 9,168/x
  3. Step 3: Cross multiply
    21,482.88x = 32,235.84 × 9,168
  4. Step 4: Simplify right side
    21,482.88x = 295,538,181.12
  5. Step 5: Solve for x
    x = 295,538,181.12/21,482.88
  6. Step 6: Final answer
    x = 13,756.92

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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.