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Finding the Fourth Proportional to 8,713.72, 13,072.74 and 2,870.38

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Solution

The fourth proportional to 8,713.72, 13,072.74 and 2,870.38 is: 4,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.72 : 13,072.74 = 2,870.38 : x
  2. Step 2: Convert to fraction form
    8,713.72/13,072.74 = 2,870.38/x
  3. Step 3: Cross multiply
    8,713.72x = 13,072.74 × 2,870.38
  4. Step 4: Simplify right side
    8,713.72x = 37,523,731.44
  5. Step 5: Solve for x
    x = 37,523,731.44/8,713.72
  6. Step 6: Final answer
    x = 4,306.28

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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.