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Finding the Fourth Proportional to 3,119.70, 4,674.02 and 2,780.70

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Solution

The fourth proportional to 3,119.70, 4,674.02 and 2,780.70 is: 4,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.70 : 4,674.02 = 2,780.70 : x
  2. Step 2: Convert to fraction form
    3,119.70/4,674.02 = 2,780.70/x
  3. Step 3: Cross multiply
    3,119.70x = 4,674.02 × 2,780.70
  4. Step 4: Simplify right side
    3,119.70x = 12,997,047.41
  5. Step 5: Solve for x
    x = 12,997,047.41/3,119.70
  6. Step 6: Final answer
    x = 4,166.12

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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.