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Finding the Fourth Proportional to 5,309.86, 7,327 and 3,071.39

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Solution

The fourth proportional to 5,309.86, 7,327 and 3,071.39 is: 4,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.86 : 7,327 = 3,071.39 : x
  2. Step 2: Convert to fraction form
    5,309.86/7,327 = 3,071.39/x
  3. Step 3: Cross multiply
    5,309.86x = 7,327 × 3,071.39
  4. Step 4: Simplify right side
    5,309.86x = 22,504,074.53
  5. Step 5: Solve for x
    x = 22,504,074.53/5,309.86
  6. Step 6: Final answer
    x = 4,238.17

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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.