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Finding the Fourth Proportional to 12,895.88, 19,343.84 and 3,661.88

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Solution

The fourth proportional to 12,895.88, 19,343.84 and 3,661.88 is: 5,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.88 : 19,343.84 = 3,661.88 : x
  2. Step 2: Convert to fraction form
    12,895.88/19,343.84 = 3,661.88/x
  3. Step 3: Cross multiply
    12,895.88x = 19,343.84 × 3,661.88
  4. Step 4: Simplify right side
    12,895.88x = 70,834,705.79
  5. Step 5: Solve for x
    x = 70,834,705.79/12,895.88
  6. Step 6: Final answer
    x = 5,492.82

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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.