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Finding the Fourth Proportional to 30,782.40, 42,481.84 and 17,352.48

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Solution

The fourth proportional to 30,782.40, 42,481.84 and 17,352.48 is: 23,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.40 : 42,481.84 = 17,352.48 : x
  2. Step 2: Convert to fraction form
    30,782.40/42,481.84 = 17,352.48/x
  3. Step 3: Cross multiply
    30,782.40x = 42,481.84 × 17,352.48
  4. Step 4: Simplify right side
    30,782.40x = 737,165,278.96
  5. Step 5: Solve for x
    x = 737,165,278.96/30,782.40
  6. Step 6: Final answer
    x = 23,947.62

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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.