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Finding the Fourth Proportional to 2,834.67, 4,251.99 and 985.77

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Solution

The fourth proportional to 2,834.67, 4,251.99 and 985.77 is: 1,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.67 : 4,251.99 = 985.77 : x
  2. Step 2: Convert to fraction form
    2,834.67/4,251.99 = 985.77/x
  3. Step 3: Cross multiply
    2,834.67x = 4,251.99 × 985.77
  4. Step 4: Simplify right side
    2,834.67x = 4,191,484.18
  5. Step 5: Solve for x
    x = 4,191,484.18/2,834.67
  6. Step 6: Final answer
    x = 1,478.65

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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.