Home / 30,982.10-46,474.59-10,205.78

Finding the Fourth Proportional to 30,982.10, 46,474.59 and 10,205.78

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Solution

The fourth proportional to 30,982.10, 46,474.59 and 10,205.78 is: 15,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.10 : 46,474.59 = 10,205.78 : x
  2. Step 2: Convert to fraction form
    30,982.10/46,474.59 = 10,205.78/x
  3. Step 3: Cross multiply
    30,982.10x = 46,474.59 × 10,205.78
  4. Step 4: Simplify right side
    30,982.10x = 474,309,441.13
  5. Step 5: Solve for x
    x = 474,309,441.13/30,982.10
  6. Step 6: Final answer
    x = 15,309.14

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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.