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Finding the Fourth Proportional to 5,412.70, 8,101.05 and 3,927.70

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Solution

The fourth proportional to 5,412.70, 8,101.05 and 3,927.70 is: 5,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.70 : 8,101.05 = 3,927.70 : x
  2. Step 2: Convert to fraction form
    5,412.70/8,101.05 = 3,927.70/x
  3. Step 3: Cross multiply
    5,412.70x = 8,101.05 × 3,927.70
  4. Step 4: Simplify right side
    5,412.70x = 31,818,494.09
  5. Step 5: Solve for x
    x = 31,818,494.09/5,412.70
  6. Step 6: Final answer
    x = 5,878.49

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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.