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Finding the Fourth Proportional to 5,072.81, 7,000.49 and 2,834.30

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Solution

The fourth proportional to 5,072.81, 7,000.49 and 2,834.30 is: 3,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.81 : 7,000.49 = 2,834.30 : x
  2. Step 2: Convert to fraction form
    5,072.81/7,000.49 = 2,834.30/x
  3. Step 3: Cross multiply
    5,072.81x = 7,000.49 × 2,834.30
  4. Step 4: Simplify right side
    5,072.81x = 19,841,513.39
  5. Step 5: Solve for x
    x = 19,841,513.39/5,072.81
  6. Step 6: Final answer
    x = 3,911.35

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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.