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Finding the Fourth Proportional to 7,820.67, 10,802.12 and 6,330.27

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Solution

The fourth proportional to 7,820.67, 10,802.12 and 6,330.27 is: 8,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.67 : 10,802.12 = 6,330.27 : x
  2. Step 2: Convert to fraction form
    7,820.67/10,802.12 = 6,330.27/x
  3. Step 3: Cross multiply
    7,820.67x = 10,802.12 × 6,330.27
  4. Step 4: Simplify right side
    7,820.67x = 68,380,304.52
  5. Step 5: Solve for x
    x = 68,380,304.52/7,820.67
  6. Step 6: Final answer
    x = 8,743.54

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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.