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Finding the Fourth Proportional to 13,261, 18,301.08 and 7,672

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Solution

The fourth proportional to 13,261, 18,301.08 and 7,672 is: 10,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261 : 18,301.08 = 7,672 : x
  2. Step 2: Convert to fraction form
    13,261/18,301.08 = 7,672/x
  3. Step 3: Cross multiply
    13,261x = 18,301.08 × 7,672
  4. Step 4: Simplify right side
    13,261x = 140,405,885.76
  5. Step 5: Solve for x
    x = 140,405,885.76/13,261
  6. Step 6: Final answer
    x = 10,587.88

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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.