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Finding the Fourth Proportional to 20,874.81, 31,325.79 and 9,040.14

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Solution

The fourth proportional to 20,874.81, 31,325.79 and 9,040.14 is: 13,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.81 : 31,325.79 = 9,040.14 : x
  2. Step 2: Convert to fraction form
    20,874.81/31,325.79 = 9,040.14/x
  3. Step 3: Cross multiply
    20,874.81x = 31,325.79 × 9,040.14
  4. Step 4: Simplify right side
    20,874.81x = 283,189,527.21
  5. Step 5: Solve for x
    x = 283,189,527.21/20,874.81
  6. Step 6: Final answer
    x = 13,566.09

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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.