Home / 7,778.28-10,725.54-5,256

Finding the Fourth Proportional to 7,778.28, 10,725.54 and 5,256

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Solution

The fourth proportional to 7,778.28, 10,725.54 and 5,256 is: 7,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.28 : 10,725.54 = 5,256 : x
  2. Step 2: Convert to fraction form
    7,778.28/10,725.54 = 5,256/x
  3. Step 3: Cross multiply
    7,778.28x = 10,725.54 × 5,256
  4. Step 4: Simplify right side
    7,778.28x = 56,373,438.24
  5. Step 5: Solve for x
    x = 56,373,438.24/7,778.28
  6. Step 6: Final answer
    x = 7,247.55

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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.