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Finding the Fourth Proportional to 5,729.50, 8,580.43 and 5,072.12

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Solution

The fourth proportional to 5,729.50, 8,580.43 and 5,072.12 is: 7,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.50 : 8,580.43 = 5,072.12 : x
  2. Step 2: Convert to fraction form
    5,729.50/8,580.43 = 5,072.12/x
  3. Step 3: Cross multiply
    5,729.50x = 8,580.43 × 5,072.12
  4. Step 4: Simplify right side
    5,729.50x = 43,520,966.23
  5. Step 5: Solve for x
    x = 43,520,966.23/5,729.50
  6. Step 6: Final answer
    x = 7,595.94

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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.