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Finding the Fourth Proportional to 13,545, 18,699.78 and 10,227.24

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Solution

The fourth proportional to 13,545, 18,699.78 and 10,227.24 is: 14,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 18,699.78 = 10,227.24 : x
  2. Step 2: Convert to fraction form
    13,545/18,699.78 = 10,227.24/x
  3. Step 3: Cross multiply
    13,545x = 18,699.78 × 10,227.24
  4. Step 4: Simplify right side
    13,545x = 191,247,138.01
  5. Step 5: Solve for x
    x = 191,247,138.01/13,545
  6. Step 6: Final answer
    x = 14,119.39

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1.5x scale

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.