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Finding the Fourth Proportional to 14,405, 19,880.66 and 8,118.52

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Solution

The fourth proportional to 14,405, 19,880.66 and 8,118.52 is: 11,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405 : 19,880.66 = 8,118.52 : x
  2. Step 2: Convert to fraction form
    14,405/19,880.66 = 8,118.52/x
  3. Step 3: Cross multiply
    14,405x = 19,880.66 × 8,118.52
  4. Step 4: Simplify right side
    14,405x = 161,401,535.82
  5. Step 5: Solve for x
    x = 161,401,535.82/14,405
  6. Step 6: Final answer
    x = 11,204.55

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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.