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Finding the Fourth Proportional to 5,784.78, 8,687.70 and 3,597.78

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Solution

The fourth proportional to 5,784.78, 8,687.70 and 3,597.78 is: 5,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.78 : 8,687.70 = 3,597.78 : x
  2. Step 2: Convert to fraction form
    5,784.78/8,687.70 = 3,597.78/x
  3. Step 3: Cross multiply
    5,784.78x = 8,687.70 × 3,597.78
  4. Step 4: Simplify right side
    5,784.78x = 31,256,433.31
  5. Step 5: Solve for x
    x = 31,256,433.31/5,784.78
  6. Step 6: Final answer
    x = 5,403.22

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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.