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Finding the Fourth Proportional to 28,912.40, 43,271.40 and 20,164.40

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Solution

The fourth proportional to 28,912.40, 43,271.40 and 20,164.40 is: 30,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,912.40 : 43,271.40 = 20,164.40 : x
  2. Step 2: Convert to fraction form
    28,912.40/43,271.40 = 20,164.40/x
  3. Step 3: Cross multiply
    28,912.40x = 43,271.40 × 20,164.40
  4. Step 4: Simplify right side
    28,912.40x = 872,541,818.16
  5. Step 5: Solve for x
    x = 872,541,818.16/28,912.40
  6. Step 6: Final answer
    x = 30,178.81

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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.