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Finding the Fourth Proportional to 20,851.48, 31,273.48 and 10,318.11

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Solution

The fourth proportional to 20,851.48, 31,273.48 and 10,318.11 is: 15,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.48 : 31,273.48 = 10,318.11 : x
  2. Step 2: Convert to fraction form
    20,851.48/31,273.48 = 10,318.11/x
  3. Step 3: Cross multiply
    20,851.48x = 31,273.48 × 10,318.11
  4. Step 4: Simplify right side
    20,851.48x = 322,683,206.72
  5. Step 5: Solve for x
    x = 322,683,206.72/20,851.48
  6. Step 6: Final answer
    x = 15,475.31

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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.