Home / 1,528.42-2,109.23-829.80

Finding the Fourth Proportional to 1,528.42, 2,109.23 and 829.80

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Solution

The fourth proportional to 1,528.42, 2,109.23 and 829.80 is: 1,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.42 : 2,109.23 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,528.42/2,109.23 = 829.80/x
  3. Step 3: Cross multiply
    1,528.42x = 2,109.23 × 829.80
  4. Step 4: Simplify right side
    1,528.42x = 1,750,239.05
  5. Step 5: Solve for x
    x = 1,750,239.05/1,528.42
  6. Step 6: Final answer
    x = 1,145.13

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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.