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Finding the Fourth Proportional to 13,698, 18,903.48 and 7,728.48

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Solution

The fourth proportional to 13,698, 18,903.48 and 7,728.48 is: 10,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 18,903.48 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    13,698/18,903.48 = 7,728.48/x
  3. Step 3: Cross multiply
    13,698x = 18,903.48 × 7,728.48
  4. Step 4: Simplify right side
    13,698x = 146,095,167.11
  5. Step 5: Solve for x
    x = 146,095,167.11/13,698
  6. Step 6: Final answer
    x = 10,665.44

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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.