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Finding the Fourth Proportional to 18,778.56, 25,915.56 and 10,820.64

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Solution

The fourth proportional to 18,778.56, 25,915.56 and 10,820.64 is: 14,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.56 : 25,915.56 = 10,820.64 : x
  2. Step 2: Convert to fraction form
    18,778.56/25,915.56 = 10,820.64/x
  3. Step 3: Cross multiply
    18,778.56x = 25,915.56 × 10,820.64
  4. Step 4: Simplify right side
    18,778.56x = 280,422,945.16
  5. Step 5: Solve for x
    x = 280,422,945.16/18,778.56
  6. Step 6: Final answer
    x = 14,933.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.