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Finding the Fourth Proportional to 2,240, 3,092.48 and 1,687.04

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Solution

The fourth proportional to 2,240, 3,092.48 and 1,687.04 is: 2,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240 : 3,092.48 = 1,687.04 : x
  2. Step 2: Convert to fraction form
    2,240/3,092.48 = 1,687.04/x
  3. Step 3: Cross multiply
    2,240x = 3,092.48 × 1,687.04
  4. Step 4: Simplify right side
    2,240x = 5,217,137.46
  5. Step 5: Solve for x
    x = 5,217,137.46/2,240
  6. Step 6: Final answer
    x = 2,329.08

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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.