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Finding the Fourth Proportional to 5,765.58, 8,646.42 and 1,816.80

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Solution

The fourth proportional to 5,765.58, 8,646.42 and 1,816.80 is: 2,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.58 : 8,646.42 = 1,816.80 : x
  2. Step 2: Convert to fraction form
    5,765.58/8,646.42 = 1,816.80/x
  3. Step 3: Cross multiply
    5,765.58x = 8,646.42 × 1,816.80
  4. Step 4: Simplify right side
    5,765.58x = 15,708,815.86
  5. Step 5: Solve for x
    x = 15,708,815.86/5,765.58
  6. Step 6: Final answer
    x = 2,724.59

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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.