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Finding the Fourth Proportional to 38,188.16, 57,278.88 and 10,486.16

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Solution

The fourth proportional to 38,188.16, 57,278.88 and 10,486.16 is: 15,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,188.16 : 57,278.88 = 10,486.16 : x
  2. Step 2: Convert to fraction form
    38,188.16/57,278.88 = 10,486.16/x
  3. Step 3: Cross multiply
    38,188.16x = 57,278.88 × 10,486.16
  4. Step 4: Simplify right side
    38,188.16x = 600,635,500.30
  5. Step 5: Solve for x
    x = 600,635,500.30/38,188.16
  6. Step 6: Final answer
    x = 15,728.32

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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.