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Finding the Fourth Proportional to 21,219, 29,284.92 and 12,835.56

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Solution

The fourth proportional to 21,219, 29,284.92 and 12,835.56 is: 17,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219 : 29,284.92 = 12,835.56 : x
  2. Step 2: Convert to fraction form
    21,219/29,284.92 = 12,835.56/x
  3. Step 3: Cross multiply
    21,219x = 29,284.92 × 12,835.56
  4. Step 4: Simplify right side
    21,219x = 375,888,347.76
  5. Step 5: Solve for x
    x = 375,888,347.76/21,219
  6. Step 6: Final answer
    x = 17,714.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.