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Finding the Fourth Proportional to 38,302.74, 57,454.11 and 12,009.60

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Solution

The fourth proportional to 38,302.74, 57,454.11 and 12,009.60 is: 18,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.74 : 57,454.11 = 12,009.60 : x
  2. Step 2: Convert to fraction form
    38,302.74/57,454.11 = 12,009.60/x
  3. Step 3: Cross multiply
    38,302.74x = 57,454.11 × 12,009.60
  4. Step 4: Simplify right side
    38,302.74x = 690,000,879.46
  5. Step 5: Solve for x
    x = 690,000,879.46/38,302.74
  6. Step 6: Final answer
    x = 18,014.40

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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.