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Finding the Fourth Proportional to 4,275, 6,401.56 and 2,423.36

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Solution

The fourth proportional to 4,275, 6,401.56 and 2,423.36 is: 3,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 6,401.56 = 2,423.36 : x
  2. Step 2: Convert to fraction form
    4,275/6,401.56 = 2,423.36/x
  3. Step 3: Cross multiply
    4,275x = 6,401.56 × 2,423.36
  4. Step 4: Simplify right side
    4,275x = 15,513,284.44
  5. Step 5: Solve for x
    x = 15,513,284.44/4,275
  6. Step 6: Final answer
    x = 3,628.84

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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.