Home / 20,438-30,664.40-10,057.04

Finding the Fourth Proportional to 20,438, 30,664.40 and 10,057.04

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Solution

The fourth proportional to 20,438, 30,664.40 and 10,057.04 is: 15,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 30,664.40 = 10,057.04 : x
  2. Step 2: Convert to fraction form
    20,438/30,664.40 = 10,057.04/x
  3. Step 3: Cross multiply
    20,438x = 30,664.40 × 10,057.04
  4. Step 4: Simplify right side
    20,438x = 308,393,097.38
  5. Step 5: Solve for x
    x = 308,393,097.38/20,438
  6. Step 6: Final answer
    x = 15,089.20

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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.