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Finding the Fourth Proportional to 8,578.10, 12,883 and 5,136.50

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Solution

The fourth proportional to 8,578.10, 12,883 and 5,136.50 is: 7,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.10 : 12,883 = 5,136.50 : x
  2. Step 2: Convert to fraction form
    8,578.10/12,883 = 5,136.50/x
  3. Step 3: Cross multiply
    8,578.10x = 12,883 × 5,136.50
  4. Step 4: Simplify right side
    8,578.10x = 66,173,529.50
  5. Step 5: Solve for x
    x = 66,173,529.50/8,578.10
  6. Step 6: Final answer
    x = 7,714.24

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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.