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Finding the Fourth Proportional to 5,589.86, 7,713.64 and 3,071.92

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Solution

The fourth proportional to 5,589.86, 7,713.64 and 3,071.92 is: 4,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.86 : 7,713.64 = 3,071.92 : x
  2. Step 2: Convert to fraction form
    5,589.86/7,713.64 = 3,071.92/x
  3. Step 3: Cross multiply
    5,589.86x = 7,713.64 × 3,071.92
  4. Step 4: Simplify right side
    5,589.86x = 23,695,690.54
  5. Step 5: Solve for x
    x = 23,695,690.54/5,589.86
  6. Step 6: Final answer
    x = 4,239.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.