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Finding the Fourth Proportional to 8,610.64, 12,913.16 and 5,318.80

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Solution

The fourth proportional to 8,610.64, 12,913.16 and 5,318.80 is: 7,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.64 : 12,913.16 = 5,318.80 : x
  2. Step 2: Convert to fraction form
    8,610.64/12,913.16 = 5,318.80/x
  3. Step 3: Cross multiply
    8,610.64x = 12,913.16 × 5,318.80
  4. Step 4: Simplify right side
    8,610.64x = 68,682,515.41
  5. Step 5: Solve for x
    x = 68,682,515.41/8,610.64
  6. Step 6: Final answer
    x = 7,976.47

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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.