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Finding the Fourth Proportional to 7,125.25, 9,780.18 and 6,820.78

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Solution

The fourth proportional to 7,125.25, 9,780.18 and 6,820.78 is: 9,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.25 : 9,780.18 = 6,820.78 : x
  2. Step 2: Convert to fraction form
    7,125.25/9,780.18 = 6,820.78/x
  3. Step 3: Cross multiply
    7,125.25x = 9,780.18 × 6,820.78
  4. Step 4: Simplify right side
    7,125.25x = 66,708,456.14
  5. Step 5: Solve for x
    x = 66,708,456.14/7,125.25
  6. Step 6: Final answer
    x = 9,362.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.