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Finding the Fourth Proportional to 1,674.84, 2,513.49 and 1,431.84

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Solution

The fourth proportional to 1,674.84, 2,513.49 and 1,431.84 is: 2,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.84 : 2,513.49 = 1,431.84 : x
  2. Step 2: Convert to fraction form
    1,674.84/2,513.49 = 1,431.84/x
  3. Step 3: Cross multiply
    1,674.84x = 2,513.49 × 1,431.84
  4. Step 4: Simplify right side
    1,674.84x = 3,598,915.52
  5. Step 5: Solve for x
    x = 3,598,915.52/1,674.84
  6. Step 6: Final answer
    x = 2,148.81

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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.