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Finding the Fourth Proportional to 21,548.88, 32,316 and 8,405.04

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Solution

The fourth proportional to 21,548.88, 32,316 and 8,405.04 is: 12,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.88 : 32,316 = 8,405.04 : x
  2. Step 2: Convert to fraction form
    21,548.88/32,316 = 8,405.04/x
  3. Step 3: Cross multiply
    21,548.88x = 32,316 × 8,405.04
  4. Step 4: Simplify right side
    21,548.88x = 271,617,272.64
  5. Step 5: Solve for x
    x = 271,617,272.64/21,548.88
  6. Step 6: Final answer
    x = 12,604.70

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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.