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Finding the Fourth Proportional to 7,143.74, 10,718.34 and 2,764.28

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Solution

The fourth proportional to 7,143.74, 10,718.34 and 2,764.28 is: 4,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.74 : 10,718.34 = 2,764.28 : x
  2. Step 2: Convert to fraction form
    7,143.74/10,718.34 = 2,764.28/x
  3. Step 3: Cross multiply
    7,143.74x = 10,718.34 × 2,764.28
  4. Step 4: Simplify right side
    7,143.74x = 29,628,492.90
  5. Step 5: Solve for x
    x = 29,628,492.90/7,143.74
  6. Step 6: Final answer
    x = 4,147.48

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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.