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Finding the Fourth Proportional to 2,551.65, 3,519.94 and 1,605.65

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Solution

The fourth proportional to 2,551.65, 3,519.94 and 1,605.65 is: 2,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.65 : 3,519.94 = 1,605.65 : x
  2. Step 2: Convert to fraction form
    2,551.65/3,519.94 = 1,605.65/x
  3. Step 3: Cross multiply
    2,551.65x = 3,519.94 × 1,605.65
  4. Step 4: Simplify right side
    2,551.65x = 5,651,783.63
  5. Step 5: Solve for x
    x = 5,651,783.63/2,551.65
  6. Step 6: Final answer
    x = 2,214.96

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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.