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Finding the Fourth Proportional to 38,782.41, 58,179.09 and 13,815.09

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Solution

The fourth proportional to 38,782.41, 58,179.09 and 13,815.09 is: 20,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.41 : 58,179.09 = 13,815.09 : x
  2. Step 2: Convert to fraction form
    38,782.41/58,179.09 = 13,815.09/x
  3. Step 3: Cross multiply
    38,782.41x = 58,179.09 × 13,815.09
  4. Step 4: Simplify right side
    38,782.41x = 803,749,364.47
  5. Step 5: Solve for x
    x = 803,749,364.47/38,782.41
  6. Step 6: Final answer
    x = 20,724.59

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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.