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Finding the Fourth Proportional to 14,138.70, 21,203.13 and 7,116

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Solution

The fourth proportional to 14,138.70, 21,203.13 and 7,116 is: 10,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.70 : 21,203.13 = 7,116 : x
  2. Step 2: Convert to fraction form
    14,138.70/21,203.13 = 7,116/x
  3. Step 3: Cross multiply
    14,138.70x = 21,203.13 × 7,116
  4. Step 4: Simplify right side
    14,138.70x = 150,881,473.08
  5. Step 5: Solve for x
    x = 150,881,473.08/14,138.70
  6. Step 6: Final answer
    x = 10,671.52

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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.