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Finding the Fourth Proportional to 21,957.68, 30,301.62 and 11,886.14

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Solution

The fourth proportional to 21,957.68, 30,301.62 and 11,886.14 is: 16,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.68 : 30,301.62 = 11,886.14 : x
  2. Step 2: Convert to fraction form
    21,957.68/30,301.62 = 11,886.14/x
  3. Step 3: Cross multiply
    21,957.68x = 30,301.62 × 11,886.14
  4. Step 4: Simplify right side
    21,957.68x = 360,169,297.55
  5. Step 5: Solve for x
    x = 360,169,297.55/21,957.68
  6. Step 6: Final answer
    x = 16,402.88

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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.