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Finding the Fourth Proportional to 31,405, 43,338.48 and 17,257.60

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Solution

The fourth proportional to 31,405, 43,338.48 and 17,257.60 is: 23,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405 : 43,338.48 = 17,257.60 : x
  2. Step 2: Convert to fraction form
    31,405/43,338.48 = 17,257.60/x
  3. Step 3: Cross multiply
    31,405x = 43,338.48 × 17,257.60
  4. Step 4: Simplify right side
    31,405x = 747,918,152.45
  5. Step 5: Solve for x
    x = 747,918,152.45/31,405
  6. Step 6: Final answer
    x = 23,815.26

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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.