Home / 1,538.30-2,308.98-809.41

Finding the Fourth Proportional to 1,538.30, 2,308.98 and 809.41

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Solution

The fourth proportional to 1,538.30, 2,308.98 and 809.41 is: 1,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.30 : 2,308.98 = 809.41 : x
  2. Step 2: Convert to fraction form
    1,538.30/2,308.98 = 809.41/x
  3. Step 3: Cross multiply
    1,538.30x = 2,308.98 × 809.41
  4. Step 4: Simplify right side
    1,538.30x = 1,868,913.09
  5. Step 5: Solve for x
    x = 1,868,913.09/1,538.30
  6. Step 6: Final answer
    x = 1,214.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.