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Finding the Fourth Proportional to 14,195, 21,302.28 and 4,961

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Solution

The fourth proportional to 14,195, 21,302.28 and 4,961 is: 7,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195 : 21,302.28 = 4,961 : x
  2. Step 2: Convert to fraction form
    14,195/21,302.28 = 4,961/x
  3. Step 3: Cross multiply
    14,195x = 21,302.28 × 4,961
  4. Step 4: Simplify right side
    14,195x = 105,680,611.08
  5. Step 5: Solve for x
    x = 105,680,611.08/14,195
  6. Step 6: Final answer
    x = 7,444.92

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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.