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Finding the Fourth Proportional to 4,612.85, 6,918.89 and 2,762.61

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Solution

The fourth proportional to 4,612.85, 6,918.89 and 2,762.61 is: 4,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.85 : 6,918.89 = 2,762.61 : x
  2. Step 2: Convert to fraction form
    4,612.85/6,918.89 = 2,762.61/x
  3. Step 3: Cross multiply
    4,612.85x = 6,918.89 × 2,762.61
  4. Step 4: Simplify right side
    4,612.85x = 19,114,154.94
  5. Step 5: Solve for x
    x = 19,114,154.94/4,612.85
  6. Step 6: Final answer
    x = 4,143.68

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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.