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Finding the Fourth Proportional to 30,591.88, 45,813.09 and 21,206.00

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Solution

The fourth proportional to 30,591.88, 45,813.09 and 21,206.00 is: 31,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.88 : 45,813.09 = 21,206.00 : x
  2. Step 2: Convert to fraction form
    30,591.88/45,813.09 = 21,206.00/x
  3. Step 3: Cross multiply
    30,591.88x = 45,813.09 × 21,206.00
  4. Step 4: Simplify right side
    30,591.88x = 971,512,580.60
  5. Step 5: Solve for x
    x = 971,512,580.60/30,591.88
  6. Step 6: Final answer
    x = 31,757.21

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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.