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Finding the Fourth Proportional to 15,849, 21,877.38 and 9,225

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Solution

The fourth proportional to 15,849, 21,877.38 and 9,225 is: 12,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849 : 21,877.38 = 9,225 : x
  2. Step 2: Convert to fraction form
    15,849/21,877.38 = 9,225/x
  3. Step 3: Cross multiply
    15,849x = 21,877.38 × 9,225
  4. Step 4: Simplify right side
    15,849x = 201,818,830.50
  5. Step 5: Solve for x
    x = 201,818,830.50/15,849
  6. Step 6: Final answer
    x = 12,733.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.