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Finding the Fourth Proportional to 15,692, 21,655.20 and 11,716.64

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Solution

The fourth proportional to 15,692, 21,655.20 and 11,716.64 is: 16,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692 : 21,655.20 = 11,716.64 : x
  2. Step 2: Convert to fraction form
    15,692/21,655.20 = 11,716.64/x
  3. Step 3: Cross multiply
    15,692x = 21,655.20 × 11,716.64
  4. Step 4: Simplify right side
    15,692x = 253,726,182.53
  5. Step 5: Solve for x
    x = 253,726,182.53/15,692
  6. Step 6: Final answer
    x = 16,169.14

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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.