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Finding the Fourth Proportional to 5,187.56, 7,781.34 and 1,724.81

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Solution

The fourth proportional to 5,187.56, 7,781.34 and 1,724.81 is: 2,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.56 : 7,781.34 = 1,724.81 : x
  2. Step 2: Convert to fraction form
    5,187.56/7,781.34 = 1,724.81/x
  3. Step 3: Cross multiply
    5,187.56x = 7,781.34 × 1,724.81
  4. Step 4: Simplify right side
    5,187.56x = 13,421,333.05
  5. Step 5: Solve for x
    x = 13,421,333.05/5,187.56
  6. Step 6: Final answer
    x = 2,587.22

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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.