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Finding the Fourth Proportional to 5,462.15, 8,191.80 and 1,565.64

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Solution

The fourth proportional to 5,462.15, 8,191.80 and 1,565.64 is: 2,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.15 : 8,191.80 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    5,462.15/8,191.80 = 1,565.64/x
  3. Step 3: Cross multiply
    5,462.15x = 8,191.80 × 1,565.64
  4. Step 4: Simplify right side
    5,462.15x = 12,825,409.75
  5. Step 5: Solve for x
    x = 12,825,409.75/5,462.15
  6. Step 6: Final answer
    x = 2,348.05

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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.