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Finding the Fourth Proportional to 7,171.02, 9,891.27 and 5,178.30

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Solution

The fourth proportional to 7,171.02, 9,891.27 and 5,178.30 is: 7,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.02 : 9,891.27 = 5,178.30 : x
  2. Step 2: Convert to fraction form
    7,171.02/9,891.27 = 5,178.30/x
  3. Step 3: Cross multiply
    7,171.02x = 9,891.27 × 5,178.30
  4. Step 4: Simplify right side
    7,171.02x = 51,219,963.44
  5. Step 5: Solve for x
    x = 51,219,963.44/7,171.02
  6. Step 6: Final answer
    x = 7,142.63

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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.