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Finding the Fourth Proportional to 12,225, 16,874.34 and 7,256.04

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Solution

The fourth proportional to 12,225, 16,874.34 and 7,256.04 is: 10,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225 : 16,874.34 = 7,256.04 : x
  2. Step 2: Convert to fraction form
    12,225/16,874.34 = 7,256.04/x
  3. Step 3: Cross multiply
    12,225x = 16,874.34 × 7,256.04
  4. Step 4: Simplify right side
    12,225x = 122,440,886.01
  5. Step 5: Solve for x
    x = 122,440,886.01/12,225
  6. Step 6: Final answer
    x = 10,015.61

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1.5x scale

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.