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Finding the Fourth Proportional to 12,654, 18,957.24 and 11,699.28

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Solution

The fourth proportional to 12,654, 18,957.24 and 11,699.28 is: 17,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 18,957.24 = 11,699.28 : x
  2. Step 2: Convert to fraction form
    12,654/18,957.24 = 11,699.28/x
  3. Step 3: Cross multiply
    12,654x = 18,957.24 × 11,699.28
  4. Step 4: Simplify right side
    12,654x = 221,786,058.79
  5. Step 5: Solve for x
    x = 221,786,058.79/12,654
  6. Step 6: Final answer
    x = 17,526.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.