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Finding the Fourth Proportional to 7,171.84, 10,754.07 and 3,219.72

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Solution

The fourth proportional to 7,171.84, 10,754.07 and 3,219.72 is: 4,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.84 : 10,754.07 = 3,219.72 : x
  2. Step 2: Convert to fraction form
    7,171.84/10,754.07 = 3,219.72/x
  3. Step 3: Cross multiply
    7,171.84x = 10,754.07 × 3,219.72
  4. Step 4: Simplify right side
    7,171.84x = 34,625,094.26
  5. Step 5: Solve for x
    x = 34,625,094.26/7,171.84
  6. Step 6: Final answer
    x = 4,827.92

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1.5x scale

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.