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Finding the Fourth Proportional to 5,300.78, 7,315.22 and 3,175.59

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Solution

The fourth proportional to 5,300.78, 7,315.22 and 3,175.59 is: 4,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.78 : 7,315.22 = 3,175.59 : x
  2. Step 2: Convert to fraction form
    5,300.78/7,315.22 = 3,175.59/x
  3. Step 3: Cross multiply
    5,300.78x = 7,315.22 × 3,175.59
  4. Step 4: Simplify right side
    5,300.78x = 23,230,139.48
  5. Step 5: Solve for x
    x = 23,230,139.48/5,300.78
  6. Step 6: Final answer
    x = 4,382.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.