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Finding the Fourth Proportional to 21,602, 29,810.76 and 11,666

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Solution

The fourth proportional to 21,602, 29,810.76 and 11,666 is: 16,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602 : 29,810.76 = 11,666 : x
  2. Step 2: Convert to fraction form
    21,602/29,810.76 = 11,666/x
  3. Step 3: Cross multiply
    21,602x = 29,810.76 × 11,666
  4. Step 4: Simplify right side
    21,602x = 347,772,326.16
  5. Step 5: Solve for x
    x = 347,772,326.16/21,602
  6. Step 6: Final answer
    x = 16,099.08

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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.