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Finding the Fourth Proportional to 3,131.64, 4,698.18 and 940.32

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Solution

The fourth proportional to 3,131.64, 4,698.18 and 940.32 is: 1,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.64 : 4,698.18 = 940.32 : x
  2. Step 2: Convert to fraction form
    3,131.64/4,698.18 = 940.32/x
  3. Step 3: Cross multiply
    3,131.64x = 4,698.18 × 940.32
  4. Step 4: Simplify right side
    3,131.64x = 4,417,792.62
  5. Step 5: Solve for x
    x = 4,417,792.62/3,131.64
  6. Step 6: Final answer
    x = 1,410.70

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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.