Home / 20,829-31,224.96-7,678.20

Finding the Fourth Proportional to 20,829, 31,224.96 and 7,678.20

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Solution

The fourth proportional to 20,829, 31,224.96 and 7,678.20 is: 11,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829 : 31,224.96 = 7,678.20 : x
  2. Step 2: Convert to fraction form
    20,829/31,224.96 = 7,678.20/x
  3. Step 3: Cross multiply
    20,829x = 31,224.96 × 7,678.20
  4. Step 4: Simplify right side
    20,829x = 239,751,487.87
  5. Step 5: Solve for x
    x = 239,751,487.87/20,829
  6. Step 6: Final answer
    x = 11,510.47

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1.5x scale

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.