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Finding the Fourth Proportional to 13,666.23, 18,859.46 and 7,698

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Solution

The fourth proportional to 13,666.23, 18,859.46 and 7,698 is: 10,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.23 : 18,859.46 = 7,698 : x
  2. Step 2: Convert to fraction form
    13,666.23/18,859.46 = 7,698/x
  3. Step 3: Cross multiply
    13,666.23x = 18,859.46 × 7,698
  4. Step 4: Simplify right side
    13,666.23x = 145,180,123.08
  5. Step 5: Solve for x
    x = 145,180,123.08/13,666.23
  6. Step 6: Final answer
    x = 10,623.28

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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.