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Finding the Fourth Proportional to 7,171.63, 10,765.64 and 4,256.08

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Solution

The fourth proportional to 7,171.63, 10,765.64 and 4,256.08 is: 6,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.63 : 10,765.64 = 4,256.08 : x
  2. Step 2: Convert to fraction form
    7,171.63/10,765.64 = 4,256.08/x
  3. Step 3: Cross multiply
    7,171.63x = 10,765.64 × 4,256.08
  4. Step 4: Simplify right side
    7,171.63x = 45,819,425.09
  5. Step 5: Solve for x
    x = 45,819,425.09/7,171.63
  6. Step 6: Final answer
    x = 6,388.98

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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.