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Finding the Fourth Proportional to 7,840.09, 11,802.91 and 7,151.19

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Solution

The fourth proportional to 7,840.09, 11,802.91 and 7,151.19 is: 10,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.09 : 11,802.91 = 7,151.19 : x
  2. Step 2: Convert to fraction form
    7,840.09/11,802.91 = 7,151.19/x
  3. Step 3: Cross multiply
    7,840.09x = 11,802.91 × 7,151.19
  4. Step 4: Simplify right side
    7,840.09x = 84,404,851.96
  5. Step 5: Solve for x
    x = 84,404,851.96/7,840.09
  6. Step 6: Final answer
    x = 10,765.80

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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.