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Finding the Fourth Proportional to 14,138, 21,207 and 4,277.06

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Solution

The fourth proportional to 14,138, 21,207 and 4,277.06 is: 6,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 21,207 = 4,277.06 : x
  2. Step 2: Convert to fraction form
    14,138/21,207 = 4,277.06/x
  3. Step 3: Cross multiply
    14,138x = 21,207 × 4,277.06
  4. Step 4: Simplify right side
    14,138x = 90,703,611.42
  5. Step 5: Solve for x
    x = 90,703,611.42/14,138
  6. Step 6: Final answer
    x = 6,415.59

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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.