Home / 4,175.40-6,262.56-1,578

Finding the Fourth Proportional to 4,175.40, 6,262.56 and 1,578

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Solution

The fourth proportional to 4,175.40, 6,262.56 and 1,578 is: 2,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.40 : 6,262.56 = 1,578 : x
  2. Step 2: Convert to fraction form
    4,175.40/6,262.56 = 1,578/x
  3. Step 3: Cross multiply
    4,175.40x = 6,262.56 × 1,578
  4. Step 4: Simplify right side
    4,175.40x = 9,882,319.68
  5. Step 5: Solve for x
    x = 9,882,319.68/4,175.40
  6. Step 6: Final answer
    x = 2,366.80

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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.