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Finding the Fourth Proportional to 21,716.31, 29,968.52 and 11,780.31

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Solution

The fourth proportional to 21,716.31, 29,968.52 and 11,780.31 is: 16,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.31 : 29,968.52 = 11,780.31 : x
  2. Step 2: Convert to fraction form
    21,716.31/29,968.52 = 11,780.31/x
  3. Step 3: Cross multiply
    21,716.31x = 29,968.52 × 11,780.31
  4. Step 4: Simplify right side
    21,716.31x = 353,038,455.84
  5. Step 5: Solve for x
    x = 353,038,455.84/21,716.31
  6. Step 6: Final answer
    x = 16,256.83

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1.5x scale

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.