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Finding the Fourth Proportional to 7,850.83, 10,833.64 and 7,223.89

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Solution

The fourth proportional to 7,850.83, 10,833.64 and 7,223.89 is: 9,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.83 : 10,833.64 = 7,223.89 : x
  2. Step 2: Convert to fraction form
    7,850.83/10,833.64 = 7,223.89/x
  3. Step 3: Cross multiply
    7,850.83x = 10,833.64 × 7,223.89
  4. Step 4: Simplify right side
    7,850.83x = 78,261,023.66
  5. Step 5: Solve for x
    x = 78,261,023.66/7,850.83
  6. Step 6: Final answer
    x = 9,968.50

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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.