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Finding the Fourth Proportional to 5,342.64, 8,013.97 and 1,447.05

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Solution

The fourth proportional to 5,342.64, 8,013.97 and 1,447.05 is: 2,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.64 : 8,013.97 = 1,447.05 : x
  2. Step 2: Convert to fraction form
    5,342.64/8,013.97 = 1,447.05/x
  3. Step 3: Cross multiply
    5,342.64x = 8,013.97 × 1,447.05
  4. Step 4: Simplify right side
    5,342.64x = 11,596,608.05
  5. Step 5: Solve for x
    x = 11,596,608.05/5,342.64
  6. Step 6: Final answer
    x = 2,170.58

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Similar ratio
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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.