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Finding the Fourth Proportional to 8,071.40, 11,138.64 and 4,534.40

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Solution

The fourth proportional to 8,071.40, 11,138.64 and 4,534.40 is: 6,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.40 : 11,138.64 = 4,534.40 : x
  2. Step 2: Convert to fraction form
    8,071.40/11,138.64 = 4,534.40/x
  3. Step 3: Cross multiply
    8,071.40x = 11,138.64 × 4,534.40
  4. Step 4: Simplify right side
    8,071.40x = 50,507,049.22
  5. Step 5: Solve for x
    x = 50,507,049.22/8,071.40
  6. Step 6: Final answer
    x = 6,257.53

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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.