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Finding the Fourth Proportional to 19,977.82, 30,008.03 and 19,313.82

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Solution

The fourth proportional to 19,977.82, 30,008.03 and 19,313.82 is: 29,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.82 : 30,008.03 = 19,313.82 : x
  2. Step 2: Convert to fraction form
    19,977.82/30,008.03 = 19,313.82/x
  3. Step 3: Cross multiply
    19,977.82x = 30,008.03 × 19,313.82
  4. Step 4: Simplify right side
    19,977.82x = 579,569,689.97
  5. Step 5: Solve for x
    x = 579,569,689.97/19,977.82
  6. Step 6: Final answer
    x = 29,010.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.