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Finding the Fourth Proportional to 5,710.86, 8,566.20 and 1,815.21

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Solution

The fourth proportional to 5,710.86, 8,566.20 and 1,815.21 is: 2,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.86 : 8,566.20 = 1,815.21 : x
  2. Step 2: Convert to fraction form
    5,710.86/8,566.20 = 1,815.21/x
  3. Step 3: Cross multiply
    5,710.86x = 8,566.20 × 1,815.21
  4. Step 4: Simplify right side
    5,710.86x = 15,549,451.90
  5. Step 5: Solve for x
    x = 15,549,451.90/5,710.86
  6. Step 6: Final answer
    x = 2,722.79

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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.