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Finding the Fourth Proportional to 5,672.97, 7,830.14 and 3,785.13

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Solution

The fourth proportional to 5,672.97, 7,830.14 and 3,785.13 is: 5,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.97 : 7,830.14 = 3,785.13 : x
  2. Step 2: Convert to fraction form
    5,672.97/7,830.14 = 3,785.13/x
  3. Step 3: Cross multiply
    5,672.97x = 7,830.14 × 3,785.13
  4. Step 4: Simplify right side
    5,672.97x = 29,638,078.89
  5. Step 5: Solve for x
    x = 29,638,078.89/5,672.97
  6. Step 6: Final answer
    x = 5,224.44

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1.5x scale

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.