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Finding the Fourth Proportional to 2,309, 3,186.74 and 1,688.84

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Solution

The fourth proportional to 2,309, 3,186.74 and 1,688.84 is: 2,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 3,186.74 = 1,688.84 : x
  2. Step 2: Convert to fraction form
    2,309/3,186.74 = 1,688.84/x
  3. Step 3: Cross multiply
    2,309x = 3,186.74 × 1,688.84
  4. Step 4: Simplify right side
    2,309x = 5,381,893.98
  5. Step 5: Solve for x
    x = 5,381,893.98/2,309
  6. Step 6: Final answer
    x = 2,330.83

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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.