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Finding the Fourth Proportional to 3,049, 4,207.80 and 1,722.67

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Solution

The fourth proportional to 3,049, 4,207.80 and 1,722.67 is: 2,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049 : 4,207.80 = 1,722.67 : x
  2. Step 2: Convert to fraction form
    3,049/4,207.80 = 1,722.67/x
  3. Step 3: Cross multiply
    3,049x = 4,207.80 × 1,722.67
  4. Step 4: Simplify right side
    3,049x = 7,248,650.83
  5. Step 5: Solve for x
    x = 7,248,650.83/3,049
  6. Step 6: Final answer
    x = 2,377.39

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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.