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Finding the Fourth Proportional to 51,464.50, 71,021.01 and 27,912.50

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Solution

The fourth proportional to 51,464.50, 71,021.01 and 27,912.50 is: 38,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.50 : 71,021.01 = 27,912.50 : x
  2. Step 2: Convert to fraction form
    51,464.50/71,021.01 = 27,912.50/x
  3. Step 3: Cross multiply
    51,464.50x = 71,021.01 × 27,912.50
  4. Step 4: Simplify right side
    51,464.50x = 1,982,373,941.63
  5. Step 5: Solve for x
    x = 1,982,373,941.63/51,464.50
  6. Step 6: Final answer
    x = 38,519.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.