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Finding the Fourth Proportional to 14,918, 20,586.94 and 8,203.42

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Solution

The fourth proportional to 14,918, 20,586.94 and 8,203.42 is: 11,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918 : 20,586.94 = 8,203.42 : x
  2. Step 2: Convert to fraction form
    14,918/20,586.94 = 8,203.42/x
  3. Step 3: Cross multiply
    14,918x = 20,586.94 × 8,203.42
  4. Step 4: Simplify right side
    14,918x = 168,883,315.33
  5. Step 5: Solve for x
    x = 168,883,315.33/14,918
  6. Step 6: Final answer
    x = 11,320.77

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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.