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Finding the Fourth Proportional to 5,815.42, 8,723.13 and 1,655.86

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Solution

The fourth proportional to 5,815.42, 8,723.13 and 1,655.86 is: 2,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.42 : 8,723.13 = 1,655.86 : x
  2. Step 2: Convert to fraction form
    5,815.42/8,723.13 = 1,655.86/x
  3. Step 3: Cross multiply
    5,815.42x = 8,723.13 × 1,655.86
  4. Step 4: Simplify right side
    5,815.42x = 14,444,282.04
  5. Step 5: Solve for x
    x = 14,444,282.04/5,815.42
  6. Step 6: Final answer
    x = 2,483.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.