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Finding the Fourth Proportional to 5,243.56, 7,865.40 and 1,781.08

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Solution

The fourth proportional to 5,243.56, 7,865.40 and 1,781.08 is: 2,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.56 : 7,865.40 = 1,781.08 : x
  2. Step 2: Convert to fraction form
    5,243.56/7,865.40 = 1,781.08/x
  3. Step 3: Cross multiply
    5,243.56x = 7,865.40 × 1,781.08
  4. Step 4: Simplify right side
    5,243.56x = 14,008,906.63
  5. Step 5: Solve for x
    x = 14,008,906.63/5,243.56
  6. Step 6: Final answer
    x = 2,671.64

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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.