Home / 1,528.24-2,108.97-829.62

Finding the Fourth Proportional to 1,528.24, 2,108.97 and 829.62

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Solution

The fourth proportional to 1,528.24, 2,108.97 and 829.62 is: 1,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.24 : 2,108.97 = 829.62 : x
  2. Step 2: Convert to fraction form
    1,528.24/2,108.97 = 829.62/x
  3. Step 3: Cross multiply
    1,528.24x = 2,108.97 × 829.62
  4. Step 4: Simplify right side
    1,528.24x = 1,749,641.26
  5. Step 5: Solve for x
    x = 1,749,641.26/1,528.24
  6. Step 6: Final answer
    x = 1,144.87

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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.