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Finding the Fourth Proportional to 21,573, 32,367.23 and 8,434.80

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Solution

The fourth proportional to 21,573, 32,367.23 and 8,434.80 is: 12,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 32,367.23 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    21,573/32,367.23 = 8,434.80/x
  3. Step 3: Cross multiply
    21,573x = 32,367.23 × 8,434.80
  4. Step 4: Simplify right side
    21,573x = 273,011,111.60
  5. Step 5: Solve for x
    x = 273,011,111.60/21,573
  6. Step 6: Final answer
    x = 12,655.22

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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.