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Finding the Fourth Proportional to 3,173, 4,756.44 and 1,612.28

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Solution

The fourth proportional to 3,173, 4,756.44 and 1,612.28 is: 2,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173 : 4,756.44 = 1,612.28 : x
  2. Step 2: Convert to fraction form
    3,173/4,756.44 = 1,612.28/x
  3. Step 3: Cross multiply
    3,173x = 4,756.44 × 1,612.28
  4. Step 4: Simplify right side
    3,173x = 7,668,713.08
  5. Step 5: Solve for x
    x = 7,668,713.08/3,173
  6. Step 6: Final answer
    x = 2,416.87

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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.