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Finding the Fourth Proportional to 21,809.90, 32,731.16 and 8,485.00

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Solution

The fourth proportional to 21,809.90, 32,731.16 and 8,485.00 is: 12,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.90 : 32,731.16 = 8,485.00 : x
  2. Step 2: Convert to fraction form
    21,809.90/32,731.16 = 8,485.00/x
  3. Step 3: Cross multiply
    21,809.90x = 32,731.16 × 8,485.00
  4. Step 4: Simplify right side
    21,809.90x = 277,723,768.35
  5. Step 5: Solve for x
    x = 277,723,768.35/21,809.90
  6. Step 6: Final answer
    x = 12,733.84

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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.