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Finding the Fourth Proportional to 21,903.66, 32,830.25 and 9,405.09

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Solution

The fourth proportional to 21,903.66, 32,830.25 and 9,405.09 is: 14,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903.66 : 32,830.25 = 9,405.09 : x
  2. Step 2: Convert to fraction form
    21,903.66/32,830.25 = 9,405.09/x
  3. Step 3: Cross multiply
    21,903.66x = 32,830.25 × 9,405.09
  4. Step 4: Simplify right side
    21,903.66x = 308,771,408.95
  5. Step 5: Solve for x
    x = 308,771,408.95/21,903.66
  6. Step 6: Final answer
    x = 14,096.80

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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.