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Finding the Fourth Proportional to 2,138.51, 3,207.83 and 657.77

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Solution

The fourth proportional to 2,138.51, 3,207.83 and 657.77 is: 986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.51 : 3,207.83 = 657.77 : x
  2. Step 2: Convert to fraction form
    2,138.51/3,207.83 = 657.77/x
  3. Step 3: Cross multiply
    2,138.51x = 3,207.83 × 657.77
  4. Step 4: Simplify right side
    2,138.51x = 2,110,011.05
  5. Step 5: Solve for x
    x = 2,110,011.05/2,138.51
  6. Step 6: Final answer
    x = 986.67

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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.