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Finding the Fourth Proportional to 2,124.70, 3,186.96 and 738.35

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Solution

The fourth proportional to 2,124.70, 3,186.96 and 738.35 is: 1,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.70 : 3,186.96 = 738.35 : x
  2. Step 2: Convert to fraction form
    2,124.70/3,186.96 = 738.35/x
  3. Step 3: Cross multiply
    2,124.70x = 3,186.96 × 738.35
  4. Step 4: Simplify right side
    2,124.70x = 2,353,072.29
  5. Step 5: Solve for x
    x = 2,353,072.29/2,124.70
  6. Step 6: Final answer
    x = 1,107.49

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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.