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Finding the Fourth Proportional to 3,612.92, 5,418.01 and 1,420.45

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Solution

The fourth proportional to 3,612.92, 5,418.01 and 1,420.45 is: 2,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.92 : 5,418.01 = 1,420.45 : x
  2. Step 2: Convert to fraction form
    3,612.92/5,418.01 = 1,420.45/x
  3. Step 3: Cross multiply
    3,612.92x = 5,418.01 × 1,420.45
  4. Step 4: Simplify right side
    3,612.92x = 7,696,035.01
  5. Step 5: Solve for x
    x = 7,696,035.01/3,612.92
  6. Step 6: Final answer
    x = 2,130.14

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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.