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Finding the Fourth Proportional to 7,820.10, 11,728.10 and 2,271.96

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Solution

The fourth proportional to 7,820.10, 11,728.10 and 2,271.96 is: 3,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.10 : 11,728.10 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    7,820.10/11,728.10 = 2,271.96/x
  3. Step 3: Cross multiply
    7,820.10x = 11,728.10 × 2,271.96
  4. Step 4: Simplify right side
    7,820.10x = 26,645,774.08
  5. Step 5: Solve for x
    x = 26,645,774.08/7,820.10
  6. Step 6: Final answer
    x = 3,407.34

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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.