Home / 1,529.25-2,110.41-830.67

Finding the Fourth Proportional to 1,529.25, 2,110.41 and 830.67

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Solution

The fourth proportional to 1,529.25, 2,110.41 and 830.67 is: 1,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.25 : 2,110.41 = 830.67 : x
  2. Step 2: Convert to fraction form
    1,529.25/2,110.41 = 830.67/x
  3. Step 3: Cross multiply
    1,529.25x = 2,110.41 × 830.67
  4. Step 4: Simplify right side
    1,529.25x = 1,753,054.27
  5. Step 5: Solve for x
    x = 1,753,054.27/1,529.25
  6. Step 6: Final answer
    x = 1,146.35

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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.