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Finding the Fourth Proportional to 8,767.40, 13,144.62 and 4,145

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Solution

The fourth proportional to 8,767.40, 13,144.62 and 4,145 is: 6,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.40 : 13,144.62 = 4,145 : x
  2. Step 2: Convert to fraction form
    8,767.40/13,144.62 = 4,145/x
  3. Step 3: Cross multiply
    8,767.40x = 13,144.62 × 4,145
  4. Step 4: Simplify right side
    8,767.40x = 54,484,449.90
  5. Step 5: Solve for x
    x = 54,484,449.90/8,767.40
  6. Step 6: Final answer
    x = 6,214.44

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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.