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Finding the Fourth Proportional to 35,805.46, 49,411.50 and 19,891.40

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Solution

The fourth proportional to 35,805.46, 49,411.50 and 19,891.40 is: 27,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.46 : 49,411.50 = 19,891.40 : x
  2. Step 2: Convert to fraction form
    35,805.46/49,411.50 = 19,891.40/x
  3. Step 3: Cross multiply
    35,805.46x = 49,411.50 × 19,891.40
  4. Step 4: Simplify right side
    35,805.46x = 982,863,911.10
  5. Step 5: Solve for x
    x = 982,863,911.10/35,805.46
  6. Step 6: Final answer
    x = 27,450.11

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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.