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Finding the Fourth Proportional to 5,447.70, 8,109.94 and 5,415.30

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Solution

The fourth proportional to 5,447.70, 8,109.94 and 5,415.30 is: 8,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.70 : 8,109.94 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    5,447.70/8,109.94 = 5,415.30/x
  3. Step 3: Cross multiply
    5,447.70x = 8,109.94 × 5,415.30
  4. Step 4: Simplify right side
    5,447.70x = 43,917,758.08
  5. Step 5: Solve for x
    x = 43,917,758.08/5,447.70
  6. Step 6: Final answer
    x = 8,061.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.