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Finding the Fourth Proportional to 1,811.80, 2,715.30 and 1,605.40

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Solution

The fourth proportional to 1,811.80, 2,715.30 and 1,605.40 is: 2,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.80 : 2,715.30 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    1,811.80/2,715.30 = 1,605.40/x
  3. Step 3: Cross multiply
    1,811.80x = 2,715.30 × 1,605.40
  4. Step 4: Simplify right side
    1,811.80x = 4,359,142.62
  5. Step 5: Solve for x
    x = 4,359,142.62/1,811.80
  6. Step 6: Final answer
    x = 2,405.97

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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.