Home / 1,528.25-2,109.03-829.67

Finding the Fourth Proportional to 1,528.25, 2,109.03 and 829.67

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Solution

The fourth proportional to 1,528.25, 2,109.03 and 829.67 is: 1,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.25 : 2,109.03 = 829.67 : x
  2. Step 2: Convert to fraction form
    1,528.25/2,109.03 = 829.67/x
  3. Step 3: Cross multiply
    1,528.25x = 2,109.03 × 829.67
  4. Step 4: Simplify right side
    1,528.25x = 1,749,798.92
  5. Step 5: Solve for x
    x = 1,749,798.92/1,528.25
  6. Step 6: Final answer
    x = 1,144.97

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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.