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Finding the Fourth Proportional to 2,663.81, 3,992.07 and 1,688.18

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Solution

The fourth proportional to 2,663.81, 3,992.07 and 1,688.18 is: 2,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.81 : 3,992.07 = 1,688.18 : x
  2. Step 2: Convert to fraction form
    2,663.81/3,992.07 = 1,688.18/x
  3. Step 3: Cross multiply
    2,663.81x = 3,992.07 × 1,688.18
  4. Step 4: Simplify right side
    2,663.81x = 6,739,332.73
  5. Step 5: Solve for x
    x = 6,739,332.73/2,663.81
  6. Step 6: Final answer
    x = 2,529.96

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1.5x scale

Why These Related Problems?

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