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Finding the Fourth Proportional to 7,219.72, 10,827.72 and 2,837.20

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Solution

The fourth proportional to 7,219.72, 10,827.72 and 2,837.20 is: 4,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.72 : 10,827.72 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    7,219.72/10,827.72 = 2,837.20/x
  3. Step 3: Cross multiply
    7,219.72x = 10,827.72 × 2,837.20
  4. Step 4: Simplify right side
    7,219.72x = 30,720,407.18
  5. Step 5: Solve for x
    x = 30,720,407.18/7,219.72
  6. Step 6: Final answer
    x = 4,255.07

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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.