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Finding the Fourth Proportional to 21,610.50, 29,825.13 and 12,180.78

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Solution

The fourth proportional to 21,610.50, 29,825.13 and 12,180.78 is: 16,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.50 : 29,825.13 = 12,180.78 : x
  2. Step 2: Convert to fraction form
    21,610.50/29,825.13 = 12,180.78/x
  3. Step 3: Cross multiply
    21,610.50x = 29,825.13 × 12,180.78
  4. Step 4: Simplify right side
    21,610.50x = 363,293,347.00
  5. Step 5: Solve for x
    x = 363,293,347.00/21,610.50
  6. Step 6: Final answer
    x = 16,810.96

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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.