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Finding the Fourth Proportional to 2,092.46, 3,140.17 and 860.99

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Solution

The fourth proportional to 2,092.46, 3,140.17 and 860.99 is: 1,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.46 : 3,140.17 = 860.99 : x
  2. Step 2: Convert to fraction form
    2,092.46/3,140.17 = 860.99/x
  3. Step 3: Cross multiply
    2,092.46x = 3,140.17 × 860.99
  4. Step 4: Simplify right side
    2,092.46x = 2,703,637.11
  5. Step 5: Solve for x
    x = 2,703,637.11/2,092.46
  6. Step 6: Final answer
    x = 1,292.09

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1.5x scale

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.