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Finding the Fourth Proportional to 38,575.82, 57,863.10 and 12,280.22

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Solution

The fourth proportional to 38,575.82, 57,863.10 and 12,280.22 is: 18,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575.82 : 57,863.10 = 12,280.22 : x
  2. Step 2: Convert to fraction form
    38,575.82/57,863.10 = 12,280.22/x
  3. Step 3: Cross multiply
    38,575.82x = 57,863.10 × 12,280.22
  4. Step 4: Simplify right side
    38,575.82x = 710,571,597.88
  5. Step 5: Solve for x
    x = 710,571,597.88/38,575.82
  6. Step 6: Final answer
    x = 18,420.13

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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.