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Finding the Fourth Proportional to 7,612.32, 11,418.80 and 3,720

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Solution

The fourth proportional to 7,612.32, 11,418.80 and 3,720 is: 5,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.32 : 11,418.80 = 3,720 : x
  2. Step 2: Convert to fraction form
    7,612.32/11,418.80 = 3,720/x
  3. Step 3: Cross multiply
    7,612.32x = 11,418.80 × 3,720
  4. Step 4: Simplify right side
    7,612.32x = 42,477,936
  5. Step 5: Solve for x
    x = 42,477,936/7,612.32
  6. Step 6: Final answer
    x = 5,580.16

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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.