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Finding the Fourth Proportional to 7,840.12, 11,802.96 and 7,151.22

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Solution

The fourth proportional to 7,840.12, 11,802.96 and 7,151.22 is: 10,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.12 : 11,802.96 = 7,151.22 : x
  2. Step 2: Convert to fraction form
    7,840.12/11,802.96 = 7,151.22/x
  3. Step 3: Cross multiply
    7,840.12x = 11,802.96 × 7,151.22
  4. Step 4: Simplify right side
    7,840.12x = 84,405,563.61
  5. Step 5: Solve for x
    x = 84,405,563.61/7,840.12
  6. Step 6: Final answer
    x = 10,765.85

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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.