Home / 1,540.02-2,310.42-809.40

Finding the Fourth Proportional to 1,540.02, 2,310.42 and 809.40

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Solution

The fourth proportional to 1,540.02, 2,310.42 and 809.40 is: 1,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.02 : 2,310.42 = 809.40 : x
  2. Step 2: Convert to fraction form
    1,540.02/2,310.42 = 809.40/x
  3. Step 3: Cross multiply
    1,540.02x = 2,310.42 × 809.40
  4. Step 4: Simplify right side
    1,540.02x = 1,870,053.95
  5. Step 5: Solve for x
    x = 1,870,053.95/1,540.02
  6. Step 6: Final answer
    x = 1,214.30

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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.