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Finding the Fourth Proportional to 2,869.84, 3,960.29 and 1,610.87

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Solution

The fourth proportional to 2,869.84, 3,960.29 and 1,610.87 is: 2,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.84 : 3,960.29 = 1,610.87 : x
  2. Step 2: Convert to fraction form
    2,869.84/3,960.29 = 1,610.87/x
  3. Step 3: Cross multiply
    2,869.84x = 3,960.29 × 1,610.87
  4. Step 4: Simplify right side
    2,869.84x = 6,379,496.58
  5. Step 5: Solve for x
    x = 6,379,496.58/2,869.84
  6. Step 6: Final answer
    x = 2,222.94

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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.