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Finding the Fourth Proportional to 38,662.75, 57,994.13 and 9,478.75

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Solution

The fourth proportional to 38,662.75, 57,994.13 and 9,478.75 is: 14,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.75 : 57,994.13 = 9,478.75 : x
  2. Step 2: Convert to fraction form
    38,662.75/57,994.13 = 9,478.75/x
  3. Step 3: Cross multiply
    38,662.75x = 57,994.13 × 9,478.75
  4. Step 4: Simplify right side
    38,662.75x = 549,711,812.34
  5. Step 5: Solve for x
    x = 549,711,812.34/38,662.75
  6. Step 6: Final answer
    x = 14,218.13

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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.