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Finding the Fourth Proportional to 7,175.71, 9,899.64 and 4,150.28

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Solution

The fourth proportional to 7,175.71, 9,899.64 and 4,150.28 is: 5,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.71 : 9,899.64 = 4,150.28 : x
  2. Step 2: Convert to fraction form
    7,175.71/9,899.64 = 4,150.28/x
  3. Step 3: Cross multiply
    7,175.71x = 9,899.64 × 4,150.28
  4. Step 4: Simplify right side
    7,175.71x = 41,086,277.90
  5. Step 5: Solve for x
    x = 41,086,277.90/7,175.71
  6. Step 6: Final answer
    x = 5,725.74

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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.