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Finding the Fourth Proportional to 30,873.88, 46,329 and 21,393.64

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Solution

The fourth proportional to 30,873.88, 46,329 and 21,393.64 is: 32,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.88 : 46,329 = 21,393.64 : x
  2. Step 2: Convert to fraction form
    30,873.88/46,329 = 21,393.64/x
  3. Step 3: Cross multiply
    30,873.88x = 46,329 × 21,393.64
  4. Step 4: Simplify right side
    30,873.88x = 991,145,947.56
  5. Step 5: Solve for x
    x = 991,145,947.56/30,873.88
  6. Step 6: Final answer
    x = 32,103.06

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1.5x scale

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.