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Finding the Fourth Proportional to 2,874.84, 4,306.29 and 1,829.67

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Solution

The fourth proportional to 2,874.84, 4,306.29 and 1,829.67 is: 2,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.84 : 4,306.29 = 1,829.67 : x
  2. Step 2: Convert to fraction form
    2,874.84/4,306.29 = 1,829.67/x
  3. Step 3: Cross multiply
    2,874.84x = 4,306.29 × 1,829.67
  4. Step 4: Simplify right side
    2,874.84x = 7,879,082.76
  5. Step 5: Solve for x
    x = 7,879,082.76/2,874.84
  6. Step 6: Final answer
    x = 2,740.70

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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.