Home / 1,529.55-2,110.78-830.92

Finding the Fourth Proportional to 1,529.55, 2,110.78 and 830.92

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Solution

The fourth proportional to 1,529.55, 2,110.78 and 830.92 is: 1,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.55 : 2,110.78 = 830.92 : x
  2. Step 2: Convert to fraction form
    1,529.55/2,110.78 = 830.92/x
  3. Step 3: Cross multiply
    1,529.55x = 2,110.78 × 830.92
  4. Step 4: Simplify right side
    1,529.55x = 1,753,889.32
  5. Step 5: Solve for x
    x = 1,753,889.32/1,529.55
  6. Step 6: Final answer
    x = 1,146.67

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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.