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Finding the Fourth Proportional to 3,487, 4,812.68 and 1,994.98

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Solution

The fourth proportional to 3,487, 4,812.68 and 1,994.98 is: 2,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 4,812.68 = 1,994.98 : x
  2. Step 2: Convert to fraction form
    3,487/4,812.68 = 1,994.98/x
  3. Step 3: Cross multiply
    3,487x = 4,812.68 × 1,994.98
  4. Step 4: Simplify right side
    3,487x = 9,601,200.35
  5. Step 5: Solve for x
    x = 9,601,200.35/3,487
  6. Step 6: Final answer
    x = 2,753.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.