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Finding the Fourth Proportional to 15,636, 21,577.68 and 11,660.52

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Solution

The fourth proportional to 15,636, 21,577.68 and 11,660.52 is: 16,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636 : 21,577.68 = 11,660.52 : x
  2. Step 2: Convert to fraction form
    15,636/21,577.68 = 11,660.52/x
  3. Step 3: Cross multiply
    15,636x = 21,577.68 × 11,660.52
  4. Step 4: Simplify right side
    15,636x = 251,606,969.19
  5. Step 5: Solve for x
    x = 251,606,969.19/15,636
  6. Step 6: Final answer
    x = 16,091.52

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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.