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Finding the Fourth Proportional to 8,665.44, 12,971.20 and 4,706.80

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Solution

The fourth proportional to 8,665.44, 12,971.20 and 4,706.80 is: 7,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.44 : 12,971.20 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    8,665.44/12,971.20 = 4,706.80/x
  3. Step 3: Cross multiply
    8,665.44x = 12,971.20 × 4,706.80
  4. Step 4: Simplify right side
    8,665.44x = 61,052,844.16
  5. Step 5: Solve for x
    x = 61,052,844.16/8,665.44
  6. Step 6: Final answer
    x = 7,045.56

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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.