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Finding the Fourth Proportional to 51,647, 71,285.01 and 31,520.53

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Solution

The fourth proportional to 51,647, 71,285.01 and 31,520.53 is: 43,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647 : 71,285.01 = 31,520.53 : x
  2. Step 2: Convert to fraction form
    51,647/71,285.01 = 31,520.53/x
  3. Step 3: Cross multiply
    51,647x = 71,285.01 × 31,520.53
  4. Step 4: Simplify right side
    51,647x = 2,246,941,296.26
  5. Step 5: Solve for x
    x = 2,246,941,296.26/51,647
  6. Step 6: Final answer
    x = 43,505.75

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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.