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Finding the Fourth Proportional to 21,405.94, 32,120.42 and 8,934.50

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Solution

The fourth proportional to 21,405.94, 32,120.42 and 8,934.50 is: 13,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.94 : 32,120.42 = 8,934.50 : x
  2. Step 2: Convert to fraction form
    21,405.94/32,120.42 = 8,934.50/x
  3. Step 3: Cross multiply
    21,405.94x = 32,120.42 × 8,934.50
  4. Step 4: Simplify right side
    21,405.94x = 286,979,928.12
  5. Step 5: Solve for x
    x = 286,979,928.12/21,405.94
  6. Step 6: Final answer
    x = 13,406.56

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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.