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Finding the Fourth Proportional to 7,842.12, 11,805.98 and 7,153.22

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Solution

The fourth proportional to 7,842.12, 11,805.98 and 7,153.22 is: 10,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.12 : 11,805.98 = 7,153.22 : x
  2. Step 2: Convert to fraction form
    7,842.12/11,805.98 = 7,153.22/x
  3. Step 3: Cross multiply
    7,842.12x = 11,805.98 × 7,153.22
  4. Step 4: Simplify right side
    7,842.12x = 84,450,772.26
  5. Step 5: Solve for x
    x = 84,450,772.26/7,842.12
  6. Step 6: Final answer
    x = 10,768.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.